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Paper Citation Record · LEDGER

On the Kirchhoff type equations in $\mathbb{R}^{N}$

As of 16 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:1908.01326.

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

pith.paper-citation-record.v1
1908.01326 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:25:30.270053Z

measured 36 of 36 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

36 of 36 outbound references displayed

  • verified exact0
  • verified fuzzy26
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3d080a54-bb0f-420e-8a6c-3ec07af11c42 · outbound

This paper cites Azzollini, The elliptic Kirchhoff equation in RN perturbed by a local nonlinearity, Differential and Integral equations 25 (2012) 543–554.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Azzollini, The elliptic Kirchhoff equation in RN perturbed by a local nonlinearity, Differential and Integral equations 25 (2012) 543–554

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.695633Z

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=2026-08-14T15:25:30.134742Z digest=sha256:3628d5178feffbeb369d4e7982aece2815b786f7930e63cb9a18aa4f568ce0ae

Observation 33bdd181-2fdb-4ad0-a9e4-149d219bae8d · outbound

This paper cites Azzollini, A note on the elliptic Kirchhoff equation in RN perturbed by a local nonlinearity, Comm.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Azzollini, A note on the elliptic Kirchhoff equation in RN perturbed by a local nonlinearity, Comm

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.684145Z

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=2026-08-14T15:25:30.139899Z digest=sha256:2619526feaa1adf8b8d5fe252d69e8a64ec993762c19d82b12b7934a980c6980

Observation 4699116e-5a21-4641-b3be-41f96c35f4bd · outbound

This paper cites Berestycki and P.L.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Berestycki and P.L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.672856Z

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=2026-08-14T15:25:30.144338Z digest=sha256:1a628e3ae41b10d82182e5041de310e1e46eb5b32cfed9eebff1d90724edbc76

Observation 5dcbb01b-1bc4-4134-b4d3-f88da434b68f · outbound

This paper cites Brown, Y.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Brown, Y

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.661839Z

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=2026-08-14T15:25:30.148872Z digest=sha256:b05ac50e8106be5331e70ba8742ab7785a8b6481450d2bcc3166e06787f55589

Observation 977bad58-343f-494a-8d23-f54da1b4110e · outbound

This paper cites Chen, Y.C.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Chen, Y.C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.651120Z

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=2026-08-14T15:25:30.153209Z digest=sha256:d54adc490cf8f9772ae3c4979b83aa767caf53c521c4289f881224d94380e300

Observation 46af7f49-ecee-4202-bb6a-91dfe24e57b5 · outbound

This paper cites D’Aprile, D.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ D’Aprile, D

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.640262Z

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=2026-08-14T15:25:30.156889Z digest=sha256:035d0df2ff301d65ad34305c73e70c1df91f0263315e7c6155f33ce904fca93a

Observation e9c0a576-4a8e-4490-93c2-65f43a8d0b12 · outbound

This paper cites D’Ancona, Y.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ D’Ancona, Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.629342Z

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=2026-08-14T15:25:30.161015Z digest=sha256:709a107558cb0b77b8d688ad3fcd0b54db91099beb33c41063e0448e26ddeee5

Observation 005cc9b0-5f85-44e0-814c-e720f5f3a960 · outbound

This paper cites D’Ancona, S.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ D’Ancona, S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.618274Z

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=2026-08-14T15:25:30.164727Z digest=sha256:5cc598389a04ab8f7a1c1e5e836f640d58c454ae520c4c93f9067122ba7d02b5

Observation f36f3dc4-b5bf-4fc5-a454-2573ded06128 · outbound

This paper cites Dr´ abek, S.I.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Dr´ abek, S.I

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.607343Z

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=2026-08-14T15:25:30.168966Z digest=sha256:82e1196231b1099671946e2791c5cbf8d005795adef3ecbe8bcbf4ba5c7b9ebf

Observation 3136277c-bce5-4c00-b027-17d1142d633e · outbound

This paper cites an unresolved cited work.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:30.595532Z

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=2026-08-14T15:25:30.172845Z digest=sha256:bc4d7ca242ba5cef6d729d53a5e8a49700905e78dc96f129919504f0c3b2b57e

Observation 76dd5995-5397-4a5e-a1c6-108fd34fae4f · outbound

This paper cites Ekeland, On the variational principle, J.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Ekeland, On the variational principle, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.583697Z

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=2026-08-14T15:25:30.176791Z digest=sha256:ed4eb0a0f096b7fea72a53a5b37d79fb5200579408fab34e030684b67fb5d4ed

Observation 3144a14f-3437-4835-a25f-1b35ce979056 · outbound

This paper cites Guo, Ground states for Kirchhoff equations without co mpact condition, J.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Guo, Ground states for Kirchhoff equations without co mpact condition, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.571788Z

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=2026-08-14T15:25:30.180531Z digest=sha256:4080484633cf65a60395596a4d31694a0880c9e12e8bcbac562cfabdd9b931f6

Observation 4deaab2a-0a44-4b88-aacb-289ebb3f3245 · outbound

This paper cites an unresolved cited work.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:30.560118Z

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=2026-08-14T15:25:30.184375Z digest=sha256:e400ec5802dfc5af934dfe81249ff01a7f63a7d7f4852c8208c65c8914dede08

Observation af28920c-de2f-49e6-bd52-6e4679554e99 · outbound

This paper cites an unresolved cited work.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:30.549193Z

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=2026-08-14T15:25:30.187898Z digest=sha256:8f8339523741e0aa9f9577e9b6a1313d8158725fc545791d198458e9b2043ccc

Observation b39b8170-d5f6-4e30-8c88-25e9b29c322c · outbound

This paper cites an unresolved cited work.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:30.538443Z

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=2026-08-14T15:25:30.191738Z digest=sha256:c769a0f508fbaa637b7be4828efab0466cbcb91b43ce473cb682617897a1c99e

Observation 9ce084a1-3d46-4d0d-8f73-c5d28f331149 · outbound

This paper cites Jeanjean, On the existence of bounded Palais–Smale s equences and application to a Landsman– Lazer-type problem set on RN , Proc.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Jeanjean, On the existence of bounded Palais–Smale s equences and application to a Landsman– Lazer-type problem set on RN , Proc

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.527860Z

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=2026-08-14T15:25:30.195406Z digest=sha256:7ca42b0f55800b1a2a300984523a27d73810be408d64cb848dd56681d1b1bd98

Observation 12843041-1c6e-4493-9704-bacec1674553 · outbound

This paper cites Kwong, Uniqueness of positive solution of ∆ u − u + up = 0 in RN , Arch.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Kwong, Uniqueness of positive solution of ∆ u − u + up = 0 in RN , Arch

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.516918Z

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=2026-08-14T15:25:30.199132Z digest=sha256:4e37fd5128cdca39a8b09082050386db528b277ce172cb6b790a66e7151fe386

Observation bc2f8cba-5c42-4495-b919-f26c988f17e8 · outbound

This paper cites an unresolved cited work.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:30.505942Z

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=2026-08-14T15:25:30.202710Z digest=sha256:338ec5c71cf8eced178b574d72cad4eb42811bcab65832df1167a871f9fa0a06

Observation 4ed60ae2-7c16-46b5-8120-ac097cd2b62b · outbound

This paper cites an unresolved cited work.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:30.494829Z

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=2026-08-14T15:25:30.206276Z digest=sha256:74c25839ff9e283a6450e7ffb168d54765b502cb7d434f1ade3ccefec3fcd0db

Observation 256d5851-32b7-4061-a3fc-688440f8ff6b · outbound

This paper cites Liang, F.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Liang, F

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.483550Z

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=2026-08-14T15:25:30.210416Z digest=sha256:d45de9981765f9aae2282a8c2a1c95052e5f840e2655103a51c0327234e0416d

Observation 8664167d-b512-4e4c-84d7-7f806d5ace74 · outbound

This paper cites an unresolved cited work.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:30.472160Z

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=2026-08-14T15:25:30.214613Z digest=sha256:3ae8dec330b7ca9641575f11dd5de5f5e33322c4c0e13b0bd334a118dcc4f8d7

Observation 13cbca08-ed35-4648-a775-fe26c97886e7 · outbound

This paper cites Lions, The concentration-compactness principle in the calculus of variations.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Lions, The concentration-compactness principle in the calculus of variations

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.461652Z

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=2026-08-14T15:25:30.218419Z digest=sha256:ee8c5176af95ac5a17e6510af3720d5a4e454037bf0e06400300f1eaa05545e2

Observation dda1d84a-f33b-4302-a656-5c4431b5d143 · outbound

This paper cites Lions, The concentration-compactness principle in the calculus of variations.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Lions, The concentration-compactness principle in the calculus of variations

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.450875Z

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=2026-08-14T15:25:30.221964Z digest=sha256:1d78d81fc95286df6092d2c4a99b3dcc53d3469f2898378ad879888b3a432f81

Observation 59d583b0-7eeb-4ab1-a86a-b5f096b51b1d · outbound

This paper cites an unresolved cited work.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:30.439850Z

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=2026-08-14T15:25:30.225544Z digest=sha256:24134539c9e0b0eb413d4b9303c55c2e3ad8b3c903f34d2028daabd555133e91

Observation 29b5bee5-7e31-4927-9478-d0b8f80a15a4 · outbound

This paper cites Naimen, The critical problem of Kirchhoff type ellipt ic equations in dimension four, J.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Naimen, The critical problem of Kirchhoff type ellipt ic equations in dimension four, J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.429215Z

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=2026-08-14T15:25:30.229213Z digest=sha256:0faa1a7c440930ada30f4f36614863b3925aa10c4b10447fbb048afd5e3122f3

Observation 2674a176-95e0-4a01-b8f8-a93e901c67a8 · outbound

This paper cites Nishihara, On a global solution of some quasilinear h yperbolic equation, Tokyo J.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Nishihara, On a global solution of some quasilinear h yperbolic equation, Tokyo J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.418150Z

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=2026-08-14T15:25:30.233184Z digest=sha256:653ae567f8091b630f3b740679aa624dedd2e03aa2d702a63a345206e91e8bf3

Observation 717bc864-d540-412c-9736-6c105430a119 · outbound

This paper cites Pohozaev, A certain class of quasilinear hyperbol ic equations.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Pohozaev, A certain class of quasilinear hyperbol ic equations

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.406874Z

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=2026-08-14T15:25:30.236735Z digest=sha256:e9532d60704592371802c340f0fce34be1a99d9e3ea1120965ec4a63e1818772

Observation 94e43603-fc04-42a1-b37c-fc44ad05a6e1 · outbound

This paper cites Ruiz, The Schr¨ odinger–Poisson equation under the e ffect of a nonlinear local term, J.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Ruiz, The Schr¨ odinger–Poisson equation under the e ffect of a nonlinear local term, J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.395965Z

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=2026-08-14T15:25:30.240362Z digest=sha256:836ebae2a133f4d9f3952d4d74d673cccaadc3969e7c7a7ba5745c751fe94e20

Observation 537183fc-e9f8-4953-bca1-29ca745084ed · outbound

This paper cites an unresolved cited work.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:30.384506Z

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=2026-08-14T15:25:30.244368Z digest=sha256:7c648aeb0368f226f3acd22b9403432a794ed8b149cecc7d96d65e0d7fa62933

Observation 5fa06199-f9a5-40cc-bc25-06f2c4cbe6ca · outbound

This paper cites Sun, T.F.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Sun, T.F

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.373630Z

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=2026-08-14T15:25:30.247956Z digest=sha256:0ab9d83b006c0f59f220fda54fa055db83dd632bf68c835addcde02d6b7cde8c

Observation e76f3e2b-4e61-4e18-954c-3af4d6d63c32 · outbound

This paper cites Sun, T.F.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Sun, T.F

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.362175Z

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=2026-08-14T15:25:30.251814Z digest=sha256:28ecda93d265519af29dd07d1ccfcc086090d17656c026d6245bd4b61520ca84

Observation edd98cb2-a813-4fa3-a726-82a7d4d4d9e7 · outbound

This paper cites Sun, T.F.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Sun, T.F

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.349597Z

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=2026-08-14T15:25:30.255533Z digest=sha256:4c8eec319920c1c274d891d09d6ce909eafb721c9681d15d13bb9ac50e18b851

Observation 5c47d89e-908e-4e70-9c49-139478e8fc32 · outbound

This paper cites Sun, T.F.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Sun, T.F

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.338273Z

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=2026-08-14T15:25:30.259351Z digest=sha256:3aa5ca8930fc13774fa53f8b4bada20c92607d0670d66f5ea9b5fd6e9b64ff4b

Observation 6d8b8106-2f67-4405-8e14-82541d2a364a · outbound

This paper cites an unresolved cited work.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:30.325847Z

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=2026-08-14T15:25:30.262952Z digest=sha256:658cb0e51cef2858828ec27dde2962761ff608e696b1d659f0195941af6cde2d

Observation 6d1c81d9-0899-47a4-9db8-b20d80171604 · outbound

This paper cites Tarantello, On nonhomogeneous elliptic equations i nvolving critical Sobolev exponent, Ann.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Tarantello, On nonhomogeneous elliptic equations i nvolving critical Sobolev exponent, Ann

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:30.314640Z

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.

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This paper cites Ye, Positive high energy solution for Kirchhoff equat ion in R3 with superlinear nonlinearities via Nehari-Pohozaev manifold, Discrete Contin.

On the Kirchhoff type equations in $\mathbb{R}^{N}$ Ye, Positive high energy solution for Kirchhoff equat ion in R3 with superlinear nonlinearities via Nehari-Pohozaev manifold, Discrete Contin

Reference 36

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