Multiplicity and concentration of nontrivial solutions for a class of fractional Kirchhoff equations with steep potential well

DOI10.1002/mma.7932OpenAlexW3213011737MaRDI QIDQ6139662

Haibo Chen, Liuyang Shao

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7932

zbMATH Keywords

energy functionalnontrivial solutionconcentrationsteep potential wellfractional Kirchhoff equations

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Cites Work

• Infinitely many solutions for a critical Kirchhoff type problem involving a fractional operator.
• Existence and concentration result for the Kirchhoff type equations with general nonlinearities
• Hitchhiker's guide to the fractional Sobolev spaces
• Existence and concentration of positive solutions for Kirchhoff-type problems with a steep well potential
• Multiplicity and concentration of solutions for fractional Schrödinger equation with sublinear perturbation and steep potential well
• Mountain pass solutions for non-local elliptic operators
• Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term
• Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Semi-linear sub-elliptic equations on the Heisenberg group with a singular potential
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• Remarks on the Schrödinger operator with singular complex potentials
• Multiplicity and concentration of solutions for nonlinear fractional elliptic equations with steep potential
• Existence and concentration result for a class of fractional Kirchhoff equations with Hartree-type nonlinearities and steep potential well
• Best constants for Sobolev inequalities for higher order fractional derivatives
• Final value problem for parabolic equation with fractional Laplacian and Kirchhoff's term
• A regularity criterion for the 3D density-dependent MHD equations
• Steep potential well may help Kirchhoff type equations to generate multiple solutions
• Concentrating standing waves for the fractional nonlinear Schrödinger equation
• Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity
• Multiplicity and concentration results for fractional Schrödinger system with steep potential wells
• Regularity of the obstacle problem for a fractional power of the laplace operator
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Ground state and sign-changing solutions for fractional Schrödinger–Poisson system with critical growth
• GLOBAL BRANCH OF SOLUTIONS FOR NON-LINEAR SCHRÖDINGER EQUATIONS WITH DEEPENING POTENTIAL WELL
• The Brezis-Nirenberg result for the fractional Laplacian
• Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains

This page was built for publication: Multiplicity and concentration of nontrivial solutions for a class of fractional Kirchhoff equations with steep potential well