Existence of sign-changing solutions for \(p(x)\)-Laplacian Kirchhoff type problem in \(\mathbb{R}^N\)

DOI10.2969/JMSJ/83258325zbMath1459.35169OpenAlexW3086387797MaRDI QIDQ1996210

Publication date: 3 March 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1599616861

zbMATH Keywords

\(p(x)\)-Laplacian Kirchhoff-type problem existence of a least energy sign-changing solution

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Cites Work

Unnamed Item
Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
Existence and multiplicity of solutions for a \(p(x)\)-Kirchhoff type equation
Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
Existence of positive solutions for nonlocal \(p(x)\)-Kirchhoff elliptic systems
Ground state sign-changing solutions for the Schrödinger-Kirchhoff equation in \(\mathbb{R}^3\)
On superlinear \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
Existence of solitary waves in higher dimensions
Electrorheological fluids: modeling and mathematical theory
Existence of entropy solutions to nonlinear parabolic problems with variable exponent and \(L^1\)-data
Existence of sign-changing solutions for a nonlocal problem of \(p\)-Kirchhoff type
Existence and multiplicity of solutions for Kirchhoff-Schrödinger type equations involving \(p(x)\)-Laplacian on the entire space \(\mathbb{R}^N\)
Sharp gradient estimates for quasilinear elliptic equations with \(p(x)\) growth on nonsmooth domains
Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
Minimax theorems
The sign-changing solutions for a class of p-Laplacian Kirchhoff type problem in bounded domains
Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
An asymptotic behavior of positive solutions for a new class of elliptic systems involving of \(( p( x) ,q( x) ) \)-Laplacian systems
AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue-Sobolev Spaces with Variable Exponents
Existence results for a class of p(x)-Kirchhoff problems
Existence of sign-changing solutions for a class ofp-Laplacian Kirchhoff-type equations
On the Well-Posedness of the Kirchhoff String
On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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