Existence and multiplicity of solutions for generalized asymptotically linear Schrödinger-Kirchhoff equations

DOI10.3934/MATH.2021361zbMath1484.35036OpenAlexW3146091714MaRDI QIDQ2133342

Yuan Shan, Baoqing Liu

Publication date: 29 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021361

zbMATH Keywords

Morse indexvariational methodSchrödinger-Kirchhoff equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for eigenvalues of operators (49R05)

Cites Work

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• High energy solutions of systems of Kirchhoff-type equations on \(\mathbb R^N\)
• Morse index and multiple solutions for the asymptotically linear Schrödinger type equation
• Existence of a positive solution to Kirchhoff-type problems without compactness conditions
• Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Compactness results for Schrödinger equations with asymptotically linear terms
• Solutions of nonlinear problems involving \(p(x)\)-Laplacian operator
• Existence and multiplicity of solutions for asymptotically linear Schrödinger-Kirchhoff equations
• Existence and multiplicity of solutions for the Kirchhoff equations with asymptotically linear nonlinearities
• Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)
• Multiplicity of solutions for a class of Kirchhoff type problems
• Positive solutions for a nonlinear nonlocal elliptic transmission problem
• Index theory for symplectic paths with applications
• Ground states for nonlinear Kirchhoff equations with critical growth
• Dual variational methods in critical point theory and applications
• Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
• A new result on high energy solutions for Schrödinger-Kirchhoff type equations in \(\mathbb R^N\)
• Homoclinic orbits for a nonperiodic Hamiltonian system
• Multiplicity of high energy solutions for superlinear Kirchhoff equations
• Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
• Infinitely many positive solutions for Kirchhoff-type problems
• Schrödinger semigroups
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL

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