Multiplicity results for a fractional Schrödinger equation with potentials
From MaRDI portal
Publication:2288239
DOI10.1216/RMJ-2019-49-7-2205zbMath1433.35095arXiv1804.03324MaRDI QIDQ2288239
Publication date: 17 January 2020
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.03324
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)
Related Items (3)
Infinitely many solutions for a fractional Schrödinger equation in \(\mathbb{R}^N\) with combined nonlinearities ⋮ Standing Waves of Fractional Schrödinger Equations with Potentials and General Nonlinearities ⋮ Stable standing waves of nonlinear fractional Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Multiple solutions of nonlinear Schrödinger equation with the fractional Laplacian
- Existence of infinitely many high energy solutions for a fractional Schrödinger equation in \(\mathbb{R}^N\)
- Multiple positive solutions of fractional elliptic equations involving concave and convex nonlinearities in \(\mathbb R^N\)
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for a class of fractional Schrödinger equations in \(\mathbb{R}^N\)
- Critical fractional \(p\)-Laplacian problems with possibly vanishing potentials
- Multiplicity and concentration of solutions for fractional Schrödinger equations
- Infinitely many radial and non-radial solutions for a fractional Schrödinger equation
- Infinitely many solutions for fractional Schrödinger equations with perturbation via variational methods
- Infinitely many solutions of the nonlinear fractional Schrödinger equations
- Infinitely many small solutions for the Kirchhoff equation with local sublinear nonlinearities
- Least energy sign-changing solutions for nonlinear Schrödinger equations with indefinite-sign and vanishing potential
- Fractional quantum mechanics and Lévy path integrals
- A multiplicity result for a nonlinear fractional Schrödinger equation in \(\mathbb{R}^N\) without the Ambrosetti-Rabinowitz condition
- Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
- Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional \(p\)-Laplacian
- Multiple solutions for a class of nonhomogeneous fractional Schrödinger equations in \(\mathbb{R}^{N}\)
- A positive ground state solution for a class of asymptotically periodic Schrödinger equations
- New conditions on nonlinearity for a periodic Schrödinger equation having zero as spectrum
- Existence of weak solutions for a class of fractional Schrödinger equations with periodic potential
- Radial sign-changing solution for fractional Schrödinger equation
- A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
- Sign-changing solutions for a class of zero mass nonlocal Schrödinger equations
- WEAK POTENTIAL CONDITIONS FOR SCHRÖDINGER EQUATIONS WITH CRITICAL NONLINEARITIES
- Nonradial solutions for semilinear Schrödinger equations with sign-changing potential
- Critical and subcritical fractional problems with vanishing potentials
- A concave—convex elliptic problem involving the fractional Laplacian
- New Super-quadratic Conditions on Ground State Solutions for Superlinear Schrödinger Equation
- Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- An Extension Problem Related to the Fractional Laplacian
This page was built for publication: Multiplicity results for a fractional Schrödinger equation with potentials
