Paper Citation Record · LEDGER

Existence and asymptotics of nonlinear Helmholtz eigenfunctions

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.04890.

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pith.paper-citation-record.v1
1908.04890 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:38:54.387612Z

measured 32 of 32 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

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Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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verified fuzzy24
unresolved4
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External citation measurements

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Outbound references

Observation ad15b297-d118-42fe-be1b-4bbf2cd4b854 · outbound

This paper cites Berestycki and P.-L.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Berestycki and P.-L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.904233Z

Source-reported events for the cited work

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Observation bad700c9-9efc-48f7-ab98-dd56f8cd19b9 · outbound

This paper cites Berestycki and P.-L.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Berestycki and P.-L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.886883Z

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

Observation f3a6ec8c-3c40-44b3-8ec0-12e6114c2eaa · outbound

This paper cites Hassell C.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Hassell C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.870776Z

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

Observation 8432813f-2ecf-4fb1-b447-d82ea1fbee29 · outbound

This paper cites Christianson and J.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Christianson and J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.855647Z

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Observation 065ec470-a3ec-43a8-ab76-3df3fd8bad9e · outbound

This paper cites Bounded solutions to the Allen-Cahn equation with level sets of any compact topology.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Bounded solutions to the Allen-Cahn equation with level sets of any compact topology

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.841838Z

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

Observation 4a672906-b127-4bb1-b479-075c3757eed7 · outbound

This paper cites Dual variational methods and nonvanishing for the nonlinear Helmholtz equation.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Dual variational methods and nonvanishing for the nonlinear Helmholtz equation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.826236Z

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

Observation a9e83797-0d3c-4806-bf3c-4e97f58e7625 · outbound

This paper cites On the ab- sence of positive eigenvalues for one-body Schr¨ odinger operators.J.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions On the ab- sence of positive eigenvalues for one-body Schr¨ odinger operators.J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.812132Z

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

Observation f37d7840-d305-426f-83b2-6e97636d9c99 · outbound

This paper cites The Feynman propagator on perturbations of Minkowski space.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions The Feynman propagator on perturbations of Minkowski space

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.798078Z

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

Observation 3504c62a-e2e7-4586-b010-d2f3daad9c00 · outbound

This paper cites Guillarmou and A.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Guillarmou and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.783582Z

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.

Observation 0ef9529c-5d78-4851-adde-81e87d22d5c1 · outbound

This paper cites Non trivialLq solutions to the Ginzburg-Landau equation.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Non trivialLq solutions to the Ginzburg-Landau equation

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.764157Z

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.

Observation 05354968-027d-44fe-b7a8-e541294a57d5 · outbound

This paper cites Propagation of singularities around a Lagrangian submanifold of radial points.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Propagation of singularities around a Lagrangian submanifold of radial points

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:38:54.505477Z

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.

Observation 1c105011-fd1f-421b-890b-3196cc287300 · outbound

This paper cites Spectral and scattering theory for symbolic po- tentials of order zero.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Spectral and scattering theory for symbolic po- tentials of order zero

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.745884Z

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

Observation 2f8900ec-156e-4920-b170-5d1f5bb30373 · outbound

This paper cites Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.731614Z

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

Observation c423bd78-43c5-416b-bc65-d4e61d9658d0 · outbound

This paper cites Global analysis of quasilinear wave equations on asymptotically Kerr–de Sitter spaces.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Global analysis of quasilinear wave equations on asymptotically Kerr–de Sitter spaces

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.718677Z

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

Observation aaef230a-d040-4816-aa85-b2fdbbcec06f · outbound

This paper cites The global non-linear stability of the Kerr–de Sitter family of black holes.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions The global non-linear stability of the Kerr–de Sitter family of black holes

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.705204Z

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

Observation f9505c0f-5810-4f0e-a83b-e77fe536403b · outbound

This paper cites On the existence and the regularity of solutions of linear pseudo-diﬀerential equations.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions On the existence and the regularity of solutions of linear pseudo-diﬀerential equations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.690853Z

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

Observation 67b0a2fd-3f95-4d41-8f3c-55fdf1f71cf4 · outbound

This paper cites Springer, Berlin, 1985.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Springer, Berlin, 1985

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.676559Z

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.

Observation 75d76c9d-9cfe-4b30-a790-16f0414b9271 · outbound

This paper cites Linear stability of slowly rotating Kerr black holes.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Linear stability of slowly rotating Kerr black holes

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T13:38:54.329139Z

Source-reported events for the cited work

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Observation 2ec8571a-4941-4fba-b508-cc24ee4a9e7c · outbound

This paper cites an unresolved cited work.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:38:54.661268Z

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

Observation 8aa7ecdc-d09e-4726-b48f-9dedb3eef097 · outbound

This paper cites On the Helmholtz equation and Dancer’s-type entire solutions for nonlinear elliptic equations.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions On the Helmholtz equation and Dancer’s-type entire solutions for nonlinear elliptic equations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.648507Z

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

Observation 9fdc96f1-1d50-4997-9682-8d579e5f6400 · outbound

This paper cites Oscillating solutions for nonlinear Helmholtz equations.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Oscillating solutions for nonlinear Helmholtz equations

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.635740Z

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.

Observation 3100db97-9053-4281-a9d9-c61c4a7054c9 · outbound

This paper cites Marzuola and E.M.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Marzuola and E.M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.622404Z

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.

Observation 9e734057-64ad-4230-a7b5-ae37e1f1b238 · outbound

This paper cites an unresolved cited work.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:38:54.605475Z

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.

Observation c268b5bd-2cd6-4157-8aed-9c3fc6749b29 · outbound

This paper cites Absence of singular spectrum for certain self-adjoint operators.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Absence of singular spectrum for certain self-adjoint operators

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.592320Z

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

Observation e178fe2a-2166-48a5-8056-2f0255040389 · outbound

This paper cites On a nonlinear diﬀerential equation arising in nuclear physics.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions On a nonlinear diﬀerential equation arising in nuclear physics

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.578199Z

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

Observation 70636b78-dff7-4172-a2d5-3926063d7fbc · outbound

This paper cites Operatori pseudo-diﬀerenziali in Rn e applicazioni.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Operatori pseudo-diﬀerenziali in Rn e applicazioni

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.564947Z

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

Observation 987362b8-ad25-49ba-b6fe-3dd46b08edb1 · outbound

This paper cites an unresolved cited work.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:38:54.550884Z

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

Observation a1e02bbb-a124-439c-825c-6ef296bda75b · outbound

This paper cites Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:38:54.471834Z

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.

Observation 8531be95-b9f6-445a-98b4-4eacc87eb5f4 · outbound

This paper cites Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:38:54.454195Z

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.

Observation d86333d2-180d-4266-9bfd-d98ec79ce67d · outbound

This paper cites Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:38:54.433712Z

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.

Observation 73c194b1-524c-4d27-8295-9d5910e31f7a · outbound

This paper cites Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an ap- pendix by Semyon Dyatlov).

Existence and asymptotics of nonlinear Helmholtz eigenfunctions Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an ap- pendix by Semyon Dyatlov)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.536106Z

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

Observation 07d09e6c-acd4-4233-baa8-984ad6e67aa2 · outbound

This paper cites A minicourse on microlocal analysis for wave propagation.

Existence and asymptotics of nonlinear Helmholtz eigenfunctions A minicourse on microlocal analysis for wave propagation

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:38:54.521404Z

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

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