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Paper Citation Record · LEDGER

Sharp multiscale control for high order nonlinear equations

As of 22 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 1 inbound Pith citation observation for arXiv:2509.07517.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.07517 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:17:53.534301Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T06:36:58.184963Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-29T14:33:31.250676Z

Reference resolution

49 of 49 outbound references displayed

  • verified exact0
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  • unresolved24
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7286723b-a577-4aba-b5ed-7d14e0e227e5 · outbound

This paper cites Agmon, A.

Sharp multiscale control for high order nonlinear equations Agmon, A

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d76b9812-9d23-4d84-b1da-3b9348b82cb8 · outbound

This paper cites Atkinson and Lambertus A.

Sharp multiscale control for high order nonlinear equations Atkinson and Lambertus A

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation aec0927c-00a9-476c-a8d7-ce7fd721caf0 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ac65aa3b-907a-493d-b338-08966bcc768a · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 9bb8d537-f944-4108-8dc4-b1c7f8cc0415 · outbound

This paper cites Pure Appl.

Sharp multiscale control for high order nonlinear equations Pure Appl

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4d34659c-fe75-4bf6-851f-8528374f9627 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7f6e0798-8431-4a1f-99ee-9c1f2031fffa · outbound

This paper cites Differential Geom.63(2003), no.

Sharp multiscale control for high order nonlinear equations Differential Geom.63(2003), no

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation fadb9a1c-1af8-46dd-a11a-dc1d655dc0dd · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:17:53.979903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 302a9649-48d3-40dc-aa74-1962fd061e38 · outbound

This paper cites PDE2(2009), no.

Sharp multiscale control for high order nonlinear equations PDE2(2009), no

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 93170cea-486f-4d14-a1cf-24bb6aaf5c7c · outbound

This paper cites 45, Princeton University Press, Princeton, NJ, 2004.

Sharp multiscale control for high order nonlinear equations 45, Princeton University Press, Princeton, NJ, 2004

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.957533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 896a4f7e-5562-4ac6-b9ba-c9cfb2ee3b01 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 11

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 21a21d71-fb77-4de5-8b56-07d49b578a3d · outbound

This paper cites Differential Equations320(2022), 510–557.

Sharp multiscale control for high order nonlinear equations Differential Equations320(2022), 510–557

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 1214e5e3-aae6-49e2-9229-f4b6a0043fe8 · outbound

This paper cites 1415, 510–557.

Sharp multiscale control for high order nonlinear equations 1415, 510–557

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 86cf1bbd-e09f-456c-b44b-ced01c0ebffb · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 14

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation eb73e775-8fc0-4a52-af00-3630d399b0cc · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d6bdec6d-c65c-41f2-9eb8-7db634087f57 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 16

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 3bc233b8-9672-4908-81e7-c27a25833264 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 17

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4e049176-4945-4daa-a43c-35b9298124e8 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 18

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation acaba197-e2c7-435d-926e-db244225ba8b · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 19

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7c2e52b5-2d3f-45a0-b990-6baa954e37dd · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c1267dc1-37e7-492d-b5d4-b293f1f1dc9a · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:17:53.853228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 26e02eb7-2d8d-4333-943f-da576cceb1c3 · outbound

This paper cites J.79(1995), no.

Sharp multiscale control for high order nonlinear equations J.79(1995), no

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.842171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0b90863b-c105-4ca2-a5ac-b075fba92be5 · outbound

This paper cites Khuri, Fernando C.

Sharp multiscale control for high order nonlinear equations Khuri, Fernando C

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.832076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 3a66aa8d-7e2e-44ce-8ed4-ca1d5a1f1f8e · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:17:53.821929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 2649b5cb-87aa-4b50-b8c6-b00c168e846f · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:17:53.811601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 1aa3194f-e9bd-4f1e-8ca6-0d866793d247 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:17:53.801710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation eea08a53-be80-4e7a-9be1-549cf80c3c23 · outbound

This paper cites II, Calc.

Sharp multiscale control for high order nonlinear equations II, Calc

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.791044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 95ef738a-93fb-422a-8027-9af4aa5a0726 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:17:53.780765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0f996578-3e35-4e4c-97aa-c95d76defc5b · outbound

This paper cites Zhu,Yamabe type equations on three-dimensional Riemannian manifolds, Commun.

Sharp multiscale control for high order nonlinear equations Zhu,Yamabe type equations on three-dimensional Riemannian manifolds, Commun

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.771229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-04T22:17:53.477213Z digest=sha256:356a92532cf790da65e239340afe9b18eb814d3c393715f74f83b76db9a13713

Observation 8bcf805b-e058-41ef-8d5f-c16efe2b6be6 · outbound

This paper cites III, Comm.

Sharp multiscale control for high order nonlinear equations III, Comm

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.760996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-04T22:17:53.479983Z digest=sha256:9de75db692fc55a2fa071607ba96cadc563a1f8671aa39ce82f7981b062e74e6

Observation 575efb79-83d6-417e-9814-c8e25a0ea701 · outbound

This paper cites The limit case.

Sharp multiscale control for high order nonlinear equations The limit case

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.749995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-04T22:17:53.482732Z digest=sha256:61bceaf37922f66f90e486c51c059a265fb474bdfc8bcd9062eec35243157836

Observation aa87d78f-3f4f-4a9d-a73d-680adbfc7c6b · outbound

This paper cites Marques,A priori estimates for the Yamabe problem in the non-locally confor- mally flat case, J.

Sharp multiscale control for high order nonlinear equations Marques,A priori estimates for the Yamabe problem in the non-locally confor- mally flat case, J

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.739032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-04T22:17:53.485347Z digest=sha256:3fdb0ae3f635c05a8da2c3833e3eada898432fb8bd3a6ac287256cf2c951b196

Observation 68144bb0-4085-4bb5-a334-ac5d176e354e · outbound

This paper cites Differential Equations261(2016), no.

Sharp multiscale control for high order nonlinear equations Differential Equations261(2016), no

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.729035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-04T22:17:53.488283Z digest=sha256:ba32c38a37053128d5faf17d61da2621ec2edd8284df5f192442d25dbbdfe144

Observation 903b3b49-9889-49df-9719-ef8af954973f · outbound

This paper cites 1, 311–330.

Sharp multiscale control for high order nonlinear equations 1, 311–330

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.718746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-04T22:17:53.490941Z digest=sha256:a5bf94592fefa128b3ae86672acfd690b916bfd1501976125b77c107ce5ce547

Observation 98ada3d3-7ec9-4e8f-8e9b-07f5f1806c18 · outbound

This paper cites Zametki67(2000), no.

Sharp multiscale control for high order nonlinear equations Zametki67(2000), no

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.709174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-04T22:17:53.493490Z digest=sha256:3ece672fc16b895c221a80607ad7497bd70002e0fc8cdd31c07e4234515ee2cd

Observation 6fbb6293-713b-47df-a9f1-1798cc6b8c42 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:17:53.699791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-04T22:17:53.496367Z digest=sha256:1a61efcb8c317378ae82854e671da0d85b6870b90c414469689a3155b50b0394

Observation d2057018-b26e-4ecb-bd3d-682aefa8d4c5 · outbound

This paper cites 6, 110808.

Sharp multiscale control for high order nonlinear equations 6, 110808

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.691312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation cdeef3b0-e8c6-4025-b6a9-e01dbe59cc3e · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 38

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation bfba3bad-ed75-46e7-bdcc-20ee21d2dda0 · outbound

This paper cites Math.410(2022), Paper No.

Sharp multiscale control for high order nonlinear equations Math.410(2022), Paper No

Reference 39

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ee38b919-54df-4a76-8f68-09fab590801c · outbound

This paper cites Nonexistence of minimizers for the second conformal eigenvalue near the round sphere in low dimensions.

Sharp multiscale control for high order nonlinear equations Nonexistence of minimizers for the second conformal eigenvalue near the round sphere in low dimensions

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-04T22:17:53.507992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T22:17:53.507992Z digest=sha256:9e43b864a89b45944e6c451617aac58b7b76c8720e856375397e408babe682dd

Observation 7f229b74-3f66-43da-ba97-0aec27934f4a · outbound

This paper cites Localization of bubbling for high order nonlinear equations.

Sharp multiscale control for high order nonlinear equations Localization of bubbling for high order nonlinear equations

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-04T22:17:53.511253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T22:17:53.511253Z digest=sha256:f359438630067b8e913473d7607c624b12be7fb7455d459b990078aa35495414

Observation 0d42ed0e-57b8-4b5f-a764-ed8a21abab68 · outbound

This paper cites Differential Geom.

Sharp multiscale control for high order nonlinear equations Differential Geom

Reference 42

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4d08950a-3234-45f2-b4bc-63d8c34f1705 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:17:53.655136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 351ea124-e417-4005-9d48-cfa8bbbe5f69 · outbound

This paper cites https://sites.math.washington.edu/ pollack/research/Schoen-1988-notes.html.

Sharp multiscale control for high order nonlinear equations https://sites.math.washington.edu/ pollack/research/Schoen-1988-notes.html

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ca2fa6a1-b9a2-4ab0-9862-de4ab7ebfced · outbound

This paper cites Schoen and Dong Zhang,Prescribed scalar curvature on then-sphere, Calc.

Sharp multiscale control for high order nonlinear equations Schoen and Dong Zhang,Prescribed scalar curvature on then-sphere, Calc

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.634296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation e93676bd-0d46-493c-ace7-6d92b1637d01 · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:17:53.624103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b6ffc70e-0a71-43b6-9edc-c3c143b6805e · outbound

This paper cites an unresolved cited work.

Sharp multiscale control for high order nonlinear equations Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:17:53.614780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ea9ae6e6-d61e-462b-a4e9-21a077f51e09 · outbound

This paper cites Ann.313(1999), no.

Sharp multiscale control for high order nonlinear equations Ann.313(1999), no

Reference 48

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-04T22:17:53.531527Z digest=sha256:2772b2a653f1ac936093979776d1c5d0662203e5103098adf8d1512bbd11efff

Observation 4467abae-1691-4761-a7b4-5821df5db489 · outbound

This paper cites 1-2, 123–164.

Sharp multiscale control for high order nonlinear equations 1-2, 123–164

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:17:53.595468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-04T22:17:53.534301Z digest=sha256:e440fffc1bec987100ac8a985edc59ecb3f32200fec9774c5047a850d766c6f6

Pith citing papers

Observation d98adde7-6249-4389-9045-e2604480ea00 · inbound

A priori bounds for energy-bounded solutions of critical polyharmonic equations cites this paper.

A priori bounds for energy-bounded solutions of critical polyharmonic equations Sharp multiscale control for high order nonlinear equations

Reference 69

Resolution
verified exact
arxiv_id, observed 2026-06-29T14:33:31.252263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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