On spectral asymptotics and bifurcation for some elliptic equations of kirchhoff-type with odd superlinear term

Baoqiang Yan; Donal O’Regan; Ravi P. Agarwal

doi:10.11948/2018.509

On spectral asymptotics and bifurcation for some elliptic equations of kirchhoff-type with odd superlinear term

Baoqiang Yan
, Donal O’Regan
, Ravi P. Agarwal

Mathematics

Shandong Normal University
Texas A&M University-Kingsville

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

5 Citations (Scopus)

Abstract

In this paper, from estimating the eigenvalues for Kirchhoff elliptic equations, we obtain spectral asymptotics and bifurcation concerning the eigenvalues of some related elliptic linear problem.

Original language	English
Pages (from-to)	509-523
Number of pages	15
Journal	Journal of Applied Analysis and Computation
Volume	8
Issue number	2
DOIs	https://doi.org/10.11948/2018.509
Publication status	Published - Apr 2018

Keywords

Eigenfunction
Eigenvalue
Kirchhoff elliptic equations
Liusternik-Schnirelmann (LS) theory

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10.11948/2018.509

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title = "On spectral asymptotics and bifurcation for some elliptic equations of kirchhoff-type with odd superlinear term",

abstract = "In this paper, from estimating the eigenvalues for Kirchhoff elliptic equations, we obtain spectral asymptotics and bifurcation concerning the eigenvalues of some related elliptic linear problem.",

keywords = "Eigenfunction, Eigenvalue, Kirchhoff elliptic equations, Liusternik-Schnirelmann (LS) theory",

author = "Baoqiang Yan and Donal O{\textquoteright}Regan and Agarwal, \{Ravi P.\}",

year = "2018",

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doi = "10.11948/2018.509",

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AU - Yan, Baoqiang

AU - O’Regan, Donal

AU - Agarwal, Ravi P.

PY - 2018/4

Y1 - 2018/4

N2 - In this paper, from estimating the eigenvalues for Kirchhoff elliptic equations, we obtain spectral asymptotics and bifurcation concerning the eigenvalues of some related elliptic linear problem.

AB - In this paper, from estimating the eigenvalues for Kirchhoff elliptic equations, we obtain spectral asymptotics and bifurcation concerning the eigenvalues of some related elliptic linear problem.

KW - Eigenfunction

KW - Eigenvalue

KW - Kirchhoff elliptic equations

KW - Liusternik-Schnirelmann (LS) theory

UR - https://www.scopus.com/pages/publications/85040762423

U2 - 10.11948/2018.509

DO - 10.11948/2018.509

M3 - Article

SN - 2156-907X

VL - 8

SP - 509

EP - 523

JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 2

ER -

On spectral asymptotics and bifurcation for some elliptic equations of kirchhoff-type with odd superlinear term

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Keywords

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