Multiplicity results of nonlinear fractional magnetic Schrödinger equation with steep potential

DOI10.1016/J.AML.2019.05.027zbMath1447.35360OpenAlexW2946416056MaRDI QIDQ2274903

Aliang Xia, Suzhen Mao

Publication date: 1 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.05.027

zbMATH Keywords

Nehari manifoldsteep potentialfractional magnetic operatorsconcave-convex term

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (11)

On a Kirchhoff Choquard type equation with magnetic field involving exponential critical growth in \(\mathbb{R}^2\) ⋮ Existence of positive solutions to the fractional Kirchhoff-type problems involving steep potential well ⋮ Construction of solutions for the nonlinear magnetic Schrödinger equation in RN ⋮ A concave–convex Kirchhoff type elliptic equation involving the fractionalp-Laplacian and steep well potential ⋮ Critical fractional \((p, q)\)-Kirchhoff type problem with a generalized Choquard nonlinearity and magnetic field ⋮ Multiplicity results for variable-order nonlinear fractional magnetic Schrödinger equation with variable growth ⋮ Solutions to a fourth-order elliptic equation with steep potential ⋮ On a fractional Kirchhoff type problem with critical exponential growth nonlinearity ⋮ Variational approach for the variable-order fractional magnetic Schrödinger equation with variable growth and steep potential in \(\mathbb{R}^N\) ⋮ On the semilinear fractional elliptic equations with singular weight functions ⋮ Multiplicity and concentration results for magnetic relativistic Schrödinger equations

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