Three positive solutions for Kirchhoff problems with steep potential well and concave-convex nonlinearities

DOI10.1016/J.AML.2021.107348zbMath1479.35380OpenAlexW3159733536MaRDI QIDQ2234986

Guofeng Che, Tsung-fang Wu

Publication date: 19 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107348

zbMATH Keywords

existence of positive solutionsvariational methodsKirchhoff equationconcave and convex nonlinearitiessteep potential well

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) Positive solutions to PDEs (35B09)

Related Items (7)

Existence and multiplicity of solutions for Kirchhoff–Schrödinger–Poisson system with critical growth ⋮ Normalized solutions for nonlinear Kirchhoff type equations with low-order fractional Laplacian and critical exponent ⋮ Existence and multiplicity of nontrivial solutions for a class of Kirchhoff-Schrödinger-Poisson systems ⋮ Fractional p-Laplacian elliptic problems with sign changing nonlinearities via the nonlinear Rayleigh quotient ⋮ Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities ⋮ Positive solutions for Kirchhoff elliptic problems via Rayleigh quotient in the whole \(\mathbb{R}^N\) ⋮ A class of Kirchhoff-type problems involving the concave-convex nonlinearities and steep potential Well

Cites Work

• Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
• The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
• Minimax theorems
• Existence and asymptotic behavior of positive solutions for Kirchhoff type problems with steep potential well
• Positive solutions of a superlinear Kirchhoff type equation in \(\mathbb{R}^N\) \((N \geq 4)\)
• Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on \(\mathbb{R}^N\)
• Steep potential well may help Kirchhoff type equations to generate multiple solutions
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains

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