Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material

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

doi:10.1186/s13661-021-01522-9

Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material

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

Mathematics

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

2 Citations (Scopus)

Abstract

In this paper, using variational method, we study the existence of an infinite number of solutions (some are positive, some are negative, and others are sign-changing) for a non-homogeneous elliptic Kirchhoff equation with a nonlinear reaction term.

Original language	English
Article number	44
Journal	Boundary Value Problems
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13661-021-01522-9
Publication status	Published - Dec 2021

Keywords

Kirchhoff equations
Sign-changing solution
Variational method

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10.1186/s13661-021-01522-9

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title = "Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material",

abstract = "In this paper, using variational method, we study the existence of an infinite number of solutions (some are positive, some are negative, and others are sign-changing) for a non-homogeneous elliptic Kirchhoff equation with a nonlinear reaction term.",

keywords = "Kirchhoff equations, Sign-changing solution, Variational method",

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

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AU - Yan, Baoqiang

AU - O’Regan, Donal

AU - Agarwal, Ravi P.

PY - 2021/12

Y1 - 2021/12

N2 - In this paper, using variational method, we study the existence of an infinite number of solutions (some are positive, some are negative, and others are sign-changing) for a non-homogeneous elliptic Kirchhoff equation with a nonlinear reaction term.

AB - In this paper, using variational method, we study the existence of an infinite number of solutions (some are positive, some are negative, and others are sign-changing) for a non-homogeneous elliptic Kirchhoff equation with a nonlinear reaction term.

KW - Kirchhoff equations

KW - Sign-changing solution

KW - Variational method

UR - https://www.scopus.com/pages/publications/85104729902

U2 - 10.1186/s13661-021-01522-9

DO - 10.1186/s13661-021-01522-9

M3 - Article

AN - SCOPUS:85104729902

SN - 1687-2762

VL - 2021

JO - Boundary Value Problems

JF - Boundary Value Problems

IS - 1

M1 - 44

ER -

Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material

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Keywords

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