Multiplicity and concentration of solutions for nonlinear fractional elliptic equations with steep potential

DOI10.3934/cpaa.2018058zbMath1400.35111OpenAlexW2784383280MaRDI QIDQ1659590

Song Peng, Aliang Xia

Publication date: 22 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018058

zbMATH Keywords

Nehari manifoldfractional Laplacianconcave-convex nonlinearity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Related Items

Existence of positive solutions to the fractional Kirchhoff-type problems involving steep potential well ⋮ Multiplicity and concentration of nontrivial solutions for a class of fractional Kirchhoff equations with steep potential well ⋮ Multiplicity results for variable-order nonlinear fractional magnetic Schrödinger equation with variable growth ⋮ 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 \(\mathbb{R}^N\) ⋮ Multiplicity results of nonlinear fractional magnetic Schrödinger equation with steep potential ⋮ On the semilinear fractional elliptic equations with singular weight functions ⋮ Existence, nonexistence and multiplicity results of a Chern-Simons-Schrödinger system

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