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Paper Citation Record · LEDGER

Extremal functions for a singular Hardy-Moser-Trudinger inequality

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.03982.

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

pith.paper-citation-record.v1
1908.03982 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:10:09.375882Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

  • verified exact2
  • verified fuzzy21
  • unresolved5
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 47cf6217-9ec4-498f-8b92-9a5cdd6983a5 · outbound

This paper cites Druet, Blow-up analysis in dimension 2 and a sharp form of Trudinger-Moser inequality, Comm.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Druet, Blow-up analysis in dimension 2 and a sharp form of Trudinger-Moser inequality, Comm

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.861414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.242467Z digest=sha256:272b69385f04aa4969162042b47fa2f42ed1e3cdf872716d0583fe844ee02b11

Observation cd019a8e-f2ef-4f02-8c4f-0109501b9d70 · outbound

This paper cites Sandeep, A singular Moser-Trudinger embe dding and its applications, Nonlinear Di ffer.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Sandeep, A singular Moser-Trudinger embe dding and its applications, Nonlinear Di ffer

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.846069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.247918Z digest=sha256:fc1f25675de462c42eef58012e8b66b2a1fc0450d1c94ab75b920263e906d591

Observation 1cca1559-fdf3-4099-afcd-83bcd42e509d · outbound

This paper cites Struwe, Global compactness properties of semilinear elliptic equation with critical exponential growth, J.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Struwe, Global compactness properties of semilinear elliptic equation with critical exponential growth, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.830245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.253208Z digest=sha256:19a2dd1c65ca02f5c0047a781e5b82af0f9c323bd88477897babbffa9404e061

Observation 2730baea-058b-42d6-8c19-c7cff9e2aef6 · outbound

This paper cites Y ang, An interpolation of Hardy inequalit y and Trudinger-Moser inequality in RN and its applica- tions, Int.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Y ang, An interpolation of Hardy inequalit y and Trudinger-Moser inequality in RN and its applica- tions, Int

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.815732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.258246Z digest=sha256:fc358f9be3e99be37242804e9229a828a4b242ef3710681096d49e5d0db2a088

Observation 01c5223c-235f-4746-b846-8a2b1cc311bb · outbound

This paper cites Baernstein, A unified approach to symmetrization, Par tial differential equations of elliptic type (Cortona, 1992), Sympos.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Baernstein, A unified approach to symmetrization, Par tial differential equations of elliptic type (Cortona, 1992), Sympos

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.800657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.263384Z digest=sha256:c8523ba9989911338bc4dd224402c58e101932d2c5acb968544508bf0ad1a2f2

Observation bbcd66fb-dd57-4f0e-a2e4-7bb4dfa715b2 · outbound

This paper cites Brezis, M.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Brezis, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.785352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.268001Z digest=sha256:761600431ae48fed0afa68e062e39dc6a27d2e593680875cd0dbaba5be572dbb

Observation 4c7be438-ea22-41c3-b066-a0aefecaf00f · outbound

This paper cites Carleson, A.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Carleson, A

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.770514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.273176Z digest=sha256:6eda004e0ac28f02aa0af3908e1b637bd7e8644f84680ea1583744a085a02c41

Observation bafb9c3c-9c1b-4fe6-a790-6060284e833d · outbound

This paper cites an unresolved cited work.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Unresolved cited work

Reference 8

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raw_fallback, observed 2026-08-14T14:10:09.754489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.277180Z digest=sha256:c686aac5eee09f83bbff9f6be2e9947a5ca04de153d2b0e03338a7e6ca6984b2

Observation c0ac876d-25af-49bf-8e9f-2b5e7b2febb4 · outbound

This paper cites an unresolved cited work.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.737434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.281918Z digest=sha256:5d582fbcccda94e109817b10d7a25cba2a73eb9139b50be72fcd165d5b5ac599

Observation 69fe0cf9-e326-4b57-b1d4-15e0ffc458ef · outbound

This paper cites an unresolved cited work.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.722157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.287677Z digest=sha256:4a1a9316835b1fa918eb694d1cb1ec8fad18087b709abf271edcc53ff4fd0dba

Observation d98058af-fdc1-4cbb-95b6-ceee86f445c7 · outbound

This paper cites an unresolved cited work.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.708561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.292483Z digest=sha256:e9cdacf2133eb99e2b891bb9e07e948dd1927c4e8fcaedbe02baa730bacffe64

Observation fc6e916d-7cee-4414-8309-15c7707df967 · outbound

This paper cites Flucher, Extremal functions for Trudinger-Moser in equality in 2 dimensions, Comment.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Flucher, Extremal functions for Trudinger-Moser in equality in 2 dimensions, Comment

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.692907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.297223Z digest=sha256:cf649f075d60df23a54c5355514ffa33f95e490dcf477d7aa85dfca8afb927ad

Observation 2114ab74-c050-44c5-8720-2cae5663f5e8 · outbound

This paper cites Extremal Functions for Singular Moser-Trudinger Embeddings.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Extremal Functions for Singular Moser-Trudinger Embeddings

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:10:09.447391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.301924Z digest=sha256:a6bb585a3f27bcbb90b331bdd94b76e149ab1078618340d9119fee191f07c7e6

Observation 5c2b5e82-c89b-4313-a51f-8fc73a54b54a · outbound

This paper cites Extremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Extremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:10:09.422860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.307064Z digest=sha256:a56b943ab8d1043602c77e43f1460f73b1529c33469d460dd6390208c3929191

Observation 2afe0d7d-4389-4bdc-bf91-e94edbe4bf98 · outbound

This paper cites Li, Moser-Trudinger inequality on compact Riemanni an manifolds of dimension two, J.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Li, Moser-Trudinger inequality on compact Riemanni an manifolds of dimension two, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.676678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.312461Z digest=sha256:24b34e4df39fe4102b386d7cf113950587172414a4ae30ddc3d6118e2fa954fb

Observation 0ac855d0-e967-4d40-b252-4aaad894e41a · outbound

This paper cites Lin, Extremal functions for Mosers inequality, Tran s.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Lin, Extremal functions for Mosers inequality, Tran s

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.660771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.317285Z digest=sha256:c5a89b81d49c3ee201681bc3148085d3523b839b0f3cc95e8b0865f77e27bd90

Observation c9eaa844-b31c-4c57-93f0-e9e5bb01761c · outbound

This paper cites Mancini, K.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Mancini, K

Reference 17

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verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.644525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.321988Z digest=sha256:f32d2ef12e70073fb0cf01817b5855e35c88a3e9529db4c8314e1325e0c87f95

Observation 4e99a6d7-3f92-4aa6-96ab-a67664b28214 · outbound

This paper cites Moser, A sharp form of an inequality by N.Trudinger, I nd.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Moser, A sharp form of an inequality by N.Trudinger, I nd

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.629671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.326934Z digest=sha256:29023a61f00a48724603800dcaef53916003914c28d4b139f8dd63c7bbb4cc11

Observation 7cc71f44-29cf-468d-b1fb-db79fd3187a6 · outbound

This paper cites Struwe, Critical points of embeddings of H1,n 0 into Orlicz spaces, Ann.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Struwe, Critical points of embeddings of H1,n 0 into Orlicz spaces, Ann

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.610118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.331838Z digest=sha256:b145c8bdd85f8a511a4a46ba29e646917a1649a8d73b849c50281cf1c1bca0ed

Observation 0d68daed-dedb-4446-82a2-ed6dd8cdb0a1 · outbound

This paper cites Tintarev, Trudinger-Moser inequality with remaind er terms, J.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Tintarev, Trudinger-Moser inequality with remaind er terms, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.593259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.336087Z digest=sha256:f44dbca77b3da0bd37b9f99090efc5f1ddd3ff4406af5ce5ef6c0ba133ee8ed4

Observation f8522a83-c0f0-4bde-a15f-e7e9dd57edda · outbound

This paper cites Trudinger, On embeddings into Orlicz spaces and some applications, J.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Trudinger, On embeddings into Orlicz spaces and some applications, J

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.577012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.340497Z digest=sha256:a47c6be378cd570ff42f7d10150a33f0c5c8bc692c5a4f056f0759af55542f6a

Observation 879b2a2f-d900-4c45-a38e-41abbc5a2e35 · outbound

This paper cites an unresolved cited work.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.561191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.344797Z digest=sha256:6f70c58646ab40b3e4c7c23ec50c65f179b58dd161017333e987bfacea8f897e

Observation 77734b6b-fd4b-4d44-8daf-b37997d1f2f1 · outbound

This paper cites Y ang, A sharp form of Moser-Trudinger inequality in h igh dimension, J.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Y ang, A sharp form of Moser-Trudinger inequality in h igh dimension, J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.544815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.350298Z digest=sha256:7c6b8e3466479fb3d5c1599ee6cae9a585f922aebb7b87183083adc55971ed54

Observation c15be606-92e6-49d9-9b1a-f08e4e6eb5b8 · outbound

This paper cites Y ang, A sharp form of trace Moser-Trudinger inequali ty on compact Riemannian surface with boundary, Trans.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Y ang, A sharp form of trace Moser-Trudinger inequali ty on compact Riemannian surface with boundary, Trans

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.528204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.355043Z digest=sha256:8e2f7ddd7468b766a2c765ed5089492df885947b4703847034fbcfcbc4f3ca95

Observation a926a180-6312-4eb1-a373-f9fd431753c7 · outbound

This paper cites Y ang, Extremal functions for Trudinger-Moser inequ alities of Adimurthi-Druet type in dimension two, J.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Y ang, Extremal functions for Trudinger-Moser inequ alities of Adimurthi-Druet type in dimension two, J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.510710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.359952Z digest=sha256:161876fb4a0468adc1542729bdec44c622a1c910364c1ef7b86576d286f33f58

Observation f8f0e6c1-363d-45c4-8056-461f53b4feef · outbound

This paper cites Y ang, X.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Y ang, X

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.493814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.366055Z digest=sha256:6eb478692468fb697ae01f3841cb7dee1c18cc4d0880f342bb70002358f85702

Observation 15129cc9-4a26-4ea2-875a-43cd2020cba8 · outbound

This paper cites Y ang, X.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Y ang, X

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.477568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.370977Z digest=sha256:4be960905b405fcf0b982a8c00bbf63b117d618a48c28a47634449a6a6dce82b

Observation 7037da0e-8dcc-46b0-b184-404d373d99ba · outbound

This paper cites Y uan, X.

Extremal functions for a singular Hardy-Moser-Trudinger inequality Y uan, X

Reference 28

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verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.463256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:09.375882Z digest=sha256:fb93d2a7405f98fcee67b3576afad675cb1ead8a2b353b00a15d0c71e23c5118

Pith citing papers

No inbound Pith citation observations are available.