Multiple solutions to the nonhomogeneous \(p\)-Kirchhoff elliptic equation with concave-convex nonlinearities

DOI10.1016/j.aml.2013.02.011zbMath1314.35037OpenAlexW2049262749MaRDI QIDQ2339029

Lihua Liu, Caisheng Chen, Jincheng Huang

Publication date: 30 March 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2013.02.011

zbMATH Keywords

mountain pass theoremmultiple solutionsEkeland's variational principle\(p\)-Kirchhoff elliptic equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods for higher-order elliptic equations (35J35)

Related Items

Multiple solutions on a \(p\)-biharmonic equation with nonlocal term, Existence of multiple solutions for a p-Kirchhoff problem with the non-linear boundary condition, Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces, Multiplicity of positive solutions for a class of \(p\)-Kirchhoff equation with critical exponent, A nonlocal type problem involving a mixed local and nonlocal operator, Existence of nontrivial solutions for a poly-Laplacian system involving concave-convex nonlinearities on locally finite graphs, On the nonhomogeneous Kirchhoff-type problems, Some perturbation results of Kirchhoff type equations via Morse theory, Nonhomogeneous elliptic Kirchhoff equations of the \(p\)-Laplacian type, Solutions for a Kirchhoff Equation with Weight and Nonlinearity with Subcritical and Critical Caffarelli–Kohn–Nirenberg Growth, Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions, Nontrivial weak solution for a Schrödinger-Kirchhoff-type system driven by a \((p_1,p_2)\)-Laplacian operator, Solutions for fourth-order Kirchhoff type elliptic equations involving concave-convex nonlinearities in \(\mathbb{R}^N\), Multiple solutions for \(N\)-Kirchhoff type problems with critical exponential growth in \(\mathbb{R}^N\), New class of sixth-order nonhomogeneous \(p(x)\)-Kirchhoff problems with sign-changing weight functions, Multiple solutions to the nonhomogeneous Kirchhoff type problem involving a nonlocal operator, Multiple solutions for \(N\)-Kirchhoff type problem in \(\mathbb{R}^N\), Unnamed Item, An existence result for a class of Kirchhoff type systems via sub and supersolutions method, Multiplicity of solutions for a fractional Kirchhoff type problem, \(n\)-Kirchhoff type equations with exponential nonlinearities

Cites Work

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