Multiplicity and concentration of positive solutions for fractional nonlinear Schrödinger equation

DOI10.3934/CPAA.2018107zbMath1395.35016OpenAlexW2805164373MaRDI QIDQ1660051

Xudong Shang, Ji Hui Zhang

Publication date: 23 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.2018107

zbMATH Keywords

multiplicity of solutionsEkeland's variational principlefractional Schrödinger equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (1)

Normalized solutions of supercritical nonlinear fractional Schrödinger equation with potential

Cites Work

• Nonlocal diffusion and applications
• Hitchhiker's guide to the fractional Sobolev spaces
• Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
• Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
• Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\)
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• On a class of nonlinear Schrödinger equations
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• The effect of concentrating potentials in some singularly perturbed problems
• Minimax theorems
• Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \(\mathbb{R}^ N\)
• Concentrating standing waves for the fractional nonlinear Schrödinger equation
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
• Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
• Ground states and concentration phenomena for the fractional Schrödinger equation
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• Methods in Nonlinear Analysis

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