Existence of infinitely many solutions for a \(p\)-Kirchhoff problem in RN

DOI10.1186/s13661-020-01403-7zbMath1489.35120OpenAlexW3034371668MaRDI QIDQ2126631

Jianyi Chen, Jing Zhao, Zong-hu Xiu

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-020-01403-7

zbMATH Keywords

existencevariational methodssingular Kirchhoff-type equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (1)

On a weighted elliptic equation of \(N\)-Kirchhoff type with double exponential growth

Cites Work

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• Existence and multiplicity results to Neumann problems for elliptic equations involving the \(p\)-Laplacian
• Existence of a positive solution to Kirchhoff-type problems without compactness conditions
• \(p\)-fractional Kirchhoff equations involving critical nonlinearities
• Infinitely many solutions for super-quadratic Kirchhoff-type equations with sign-changing potential
• Existence of solutions for quasilinear elliptic exterior problem with the concave-convex nonlinearities and the nonlinear boundary conditions
• Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
• Existence and multiplicity of positive solutions for a class of nonlinear boundary value problems
• A uniqueness result for a nonlocal equation of Kirchhoff type and some related open problem
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• Multiple constant sign and nodal solutions for nonlinear elliptic equations with the \(p\)-Laplacian
• Entire solutions of semilinear elliptic equations
• Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
• Multiplicity of positive solutions for the Kirchhoff-type equations with critical exponent in \(\mathbb R^N\)
• On a quasilinear Schrödinger-Kirchhoff-type equation with radial potentials
• Ground state solution on a non-autonomous Kirchhoff type equation
• Positive solutions of a superlinear Kirchhoff type equation in \(\mathbb{R}^N\) \((N \geq 4)\)
• Existence of nontrivial solutions for Kirchhoff-type problems with jumping nonlinearities
• The sign-changing solutions for a class of p-Laplacian Kirchhoff type problem in bounded domains
• The wave equation for the \(p\)-Laplacian
• Infinitely many solutions forp-Kirchhoff equation with concave-convex nonlinearities in RN

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