Multiplicity of solutions for fractional Schrödinger equations with perturbation
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Publication:2342480
DOI10.1186/s13661-015-0317-5zbMath1310.35241OpenAlexW2011452674WikidataQ59413422 ScholiaQ59413422MaRDI QIDQ2342480
Publication date: 28 April 2015
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-015-0317-5
NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Nonlinear fractional field equations
- On some critical problems for the fractional Laplacian operator
- Hitchhiker's guide to the fractional Sobolev spaces
- On fractional Schrödinger equations in \({\mathbb R}^N\) without the Ambrosetti-Rabinowitz condition
- The Nehari manifold for elliptic equation involving the square root of the Laplacian
- Comparison and regularity results for the fractional Laplacian via symmetrization methods
- Nonlinear porous medium flow with fractional potential pressure
- Mountain pass solutions for non-local elliptic operators
- Surfaces minimizing nonlocal energies
- Fractional quantum mechanics and Lévy path integrals
- Trigonometric approximation of functions belonging to Lipschitz class by matrix \((C^1\cdot N_p)\) operator of conjugate series of Fourier series
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- A concave—convex elliptic problem involving the fractional Laplacian
- 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
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Non-homogeneous fractional Schr\"odinger equation
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Ground state solutions of asymptotically linear fractional Schrödinger equations