Multiplicity and concentration of solutions for fractional Schrödinger equation with sublinear perturbation and steep potential well

DOI10.1016/j.camwa.2016.07.033zbMath1365.35221OpenAlexW2512373306MaRDI QIDQ521469

Yong-Cai Geng, Sumit K. Garg

Publication date: 11 April 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.07.033

zbMATH Keywords

multiplicityvariational methodfractional Laplacianconcentration

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11)

Related Items (17)

Energy solutions and concentration problem of fractional Schrödinger equation ⋮ Multiplicity and concentration results for fractional Schrödinger system with steep potential wells ⋮ Existence and concentration of ground state sign-changing solutions for Kirchhoff type equations with steep potential well and nonlinearity ⋮ Unnamed Item ⋮ On fractional Schrödinger equation with periodic and asymptotically periodic conditions ⋮ Existence of solutions for asymptotically periodic fractional Schrödinger equation ⋮ Existence of positive ground state solutions for fractional Schrödinger equations with a general nonlinearity ⋮ Multiplicity and concentration of solutions for a fractional Schrödinger–Poisson system with sign-changing potential ⋮ Multiplicity and concentration of nontrivial solutions for a class of fractional Kirchhoff equations with steep potential well ⋮ Infinitely many small energy solutions for fractional coupled Schrodinger system with critical growth ⋮ Multiple solutions for the Schrödinger equations with sign-changing potential and Hartree nonlinearity ⋮ Infinitely many solutions for fractional Schrödinger equations with perturbation via variational methods ⋮ Existence and multiplicity of solutions for sublinear Schrödinger equations with coercive potentials ⋮ Infinitely many solutions for a class of sublinear fractional Schrödinger equations with indefinite potentials ⋮ Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling ⋮ Existence and nonexistence of solutions for a class of Kirchhoff type equation involving fractional \(p\)-Laplacian ⋮ Nonlocal Schrödinger equations for integro-differential operators with measurable kernels

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