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Paper Citation Record · LEDGER

The Dirichlet problem for a prescribed mean curvature equation

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.06584.

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

pith.paper-citation-record.v1
1908.06584 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:47:44.249303Z

measured 12 of 12 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

12 of 12 outbound references displayed

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  • verified fuzzy11
  • unresolved0
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation af890611-192b-422d-b6c6-176ea9d173d9 · outbound

This paper cites Bergner, The Dirichlet problem for graphs of prescribed anisotropic mean curvature in Rn+1, Analysis (Munich) 28 (2008), 149–166.

The Dirichlet problem for a prescribed mean curvature equation Bergner, The Dirichlet problem for graphs of prescribed anisotropic mean curvature in Rn+1, Analysis (Munich) 28 (2008), 149–166

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.478232Z

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=2026-08-14T12:47:44.190854Z digest=sha256:50f7f579060ede221c03333116fa51f3889e4049b2125624ae64a347ba4fa813

Observation b9112835-7cd4-4c5c-878b-ffbbf957e14f · outbound

This paper cites Gerhardt, Existence, regularity, and boundary behaviour of generalized surfaces of prescribed mean curvature, Math.

The Dirichlet problem for a prescribed mean curvature equation Gerhardt, Existence, regularity, and boundary behaviour of generalized surfaces of prescribed mean curvature, Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.462043Z

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=2026-08-14T12:47:44.196919Z digest=sha256:d85f63e5bb61d0d23af3f383abd35288d3555d000e4e8a2a29d04952044750d6

Observation 97e25f35-eb2b-4427-b562-9f2efbc31df0 · outbound

This paper cites Giaquinta, On the Dirichlet problem for surfaces of prescribed mean curvature , Manuscripta Math.

The Dirichlet problem for a prescribed mean curvature equation Giaquinta, On the Dirichlet problem for surfaces of prescribed mean curvature , Manuscripta Math

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.445752Z

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=2026-08-14T12:47:44.202282Z digest=sha256:84b338036a5ce7223b5383c2b78c4e6056128c887b597adc7e52f8724912e741

Observation 90689c65-f417-447a-861f-20ec0b2e371b · outbound

This paper cites Gilbarg, N.

The Dirichlet problem for a prescribed mean curvature equation Gilbarg, N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.430291Z

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=2026-08-14T12:47:44.207432Z digest=sha256:8089df34ec9a8f504ad8ffbdd2cec2d9f45fd6d6123a5671841f5029ce405ade

Observation 073368f4-ff96-47ba-8f61-aeda1f23cfb6 · outbound

This paper cites Giusti, On the equation of surfaces of prescribed mean curvature.

The Dirichlet problem for a prescribed mean curvature equation Giusti, On the equation of surfaces of prescribed mean curvature

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.413647Z

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=2026-08-14T12:47:44.212462Z digest=sha256:120121e464ab5db5a2bfc6dcfc5a403d3c193bf5eef3f1ec6803155012ae62f1

Observation ec16f205-9acd-4bfa-bd78-dbd82d529572 · outbound

This paper cites Hayasida, M.

The Dirichlet problem for a prescribed mean curvature equation Hayasida, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.398119Z

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=2026-08-14T12:47:44.218844Z digest=sha256:53ce03db5c834d7b320ab77b8626b84d30599fd60221ada68e91f08fc7e04745

Observation dd559ad4-5143-4cba-a15d-3b5b80391d3c · outbound

This paper cites Jenkins, J.

The Dirichlet problem for a prescribed mean curvature equation Jenkins, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.381408Z

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=2026-08-14T12:47:44.224566Z digest=sha256:a9968c54586fd86dd4f0e78910c0f7531264084ae9a9a642045a74a0419a7674

Observation af134b28-bd1b-414f-a54e-780e9afeadd4 · outbound

This paper cites Marquardt, Remark on the anisotropic prescribed mean curvature equation on arbitrary domains, Math.

The Dirichlet problem for a prescribed mean curvature equation Marquardt, Remark on the anisotropic prescribed mean curvature equation on arbitrary domains, Math

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.364725Z

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=2026-08-14T12:47:44.229688Z digest=sha256:3d3574838cc1ab931340becc9a243d950441a151b864fe3e7b34ffb117235218

Observation 97525aa2-6fc5-4283-bc1c-83b722247ed7 · outbound

This paper cites Miranda, Dirichlet problem with L1 data for the non-homogeneous minimal surface equation, Indiana Univ.

The Dirichlet problem for a prescribed mean curvature equation Miranda, Dirichlet problem with L1 data for the non-homogeneous minimal surface equation, Indiana Univ

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.348487Z

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=2026-08-14T12:47:44.234490Z digest=sha256:914ff020c24830f2c52fe44ec5b8fcccf53b04baf9a8cb5be0ccae1fc321ffd1

Observation 6a6b7bc4-be91-4a12-bbdf-1854cccc6b22 · outbound

This paper cites Serrin, The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables , Phil.

The Dirichlet problem for a prescribed mean curvature equation Serrin, The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables , Phil

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.331437Z

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=2026-08-14T12:47:44.239326Z digest=sha256:f85cb6d48b412ca6f5b7cde2e5716dd6a0907601930cf8fd2242e9425fd32fb9

Observation 69741a68-88a8-4441-908a-c09e98c85c6a · outbound

This paper cites A diffused interface with the advection term in a Sobolev space.

The Dirichlet problem for a prescribed mean curvature equation A diffused interface with the advection term in a Sobolev space

Reference 11

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verified exact
local_arxiv, observed 2026-08-14T12:47:44.295919Z

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=2026-08-14T12:47:44.244164Z digest=sha256:73a33fd9e8dc2969e3c165d00171cdcef29ab38f36f717a616374b3af91f3679

Observation e205f487-0753-4325-ab7f-67a6328fb36d · outbound

This paper cites Ziemer, Weakly differentiable functions, Springer-Verlag (1989).

The Dirichlet problem for a prescribed mean curvature equation Ziemer, Weakly differentiable functions, Springer-Verlag (1989)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:47:44.314789Z

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=2026-08-14T12:47:44.249303Z digest=sha256:db1abcac3504641b2c0c8c1ab0552d195eb3d6be8c7ffc712a44877c3957975f

Pith citing papers

No inbound Pith citation observations are available.