Three solutions for a fractional Schrödinger equation with vanishing potentials

DOI10.1016/J.AML.2017.08.004zbMath1375.35621OpenAlexW2747128682MaRDI QIDQ1680017

Zhipeng Yang, Fukun Zhao

Publication date: 22 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.aml.2017.08.004

zbMATH Keywords

variational methodsfractional Schrödinger equationvanishing potential

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Related Items (6)

Infinitely many sign-changing solutions for nonlinear fractional Kirchhoff equations ⋮ Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions ⋮ Existence of positive solutions for a class of critical fractional Schrödinger-Poisson system with potential vanishing at infinity ⋮ Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent ⋮ Existence of multiple non-trivial solutions for a nonlocal problem ⋮ Infinitely many solutions for fractional Schrödinger equation with potential vanishing at infinity

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• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Variational Methods for Nonlocal Fractional Problems
• An Extension Problem Related to the Fractional Laplacian
• Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity

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