Bound state for fractional Schrödinger equation with saturable nonlinearity

DOI10.1016/j.amc.2015.10.042zbMath1410.35279OpenAlexW2202524446MaRDI QIDQ668542

Juan-Miguel Gracia

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.10.042

zbMATH Keywords

mountain pass theoremground statebound statefractional Schrödinger equation

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

Soliton dynamics in a fractional complex Ginzburg-Landau model ⋮ Multiplicity solutions of a class fractional Schrödinger equations ⋮ The nontrivial solutions for fractional Schrödinger-Poisson equations with magnetic fields and critical or supercritical growth ⋮ Orbital stability of standing waves for nonlinear fractional Schrödinger equation with unbounded potential ⋮ Nonlocal Schrödinger equations for integro-differential operators with measurable kernels

Cites Work

• Guidance properties of nonlinear planar waveguides
• Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
• Bound state for the fractional Schrödinger equation with unbounded potential
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Existence and stability of standing waves for nonlinear fractional Schrödinger equations
• A Variation of the Mountain Pass Lemma and Applications
• Applying the mountain pass theorem to an asymptotically linear elliptic equation on R^N
• A positive solution for an asymptotically linear elliptic problem on $\mathbb{R}^N$ autonomous at infinity
• Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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