Radial symmetry of standing waves for nonlinear fractional Hardy-Schrödinger equation
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Publication:2274829
DOI10.1016/j.aml.2019.04.024zbMath1447.35302OpenAlexW2943498627MaRDI QIDQ2274829
Guotao Wang, Xueyan Ren, Wenwen Hou, Zhanbing Bai
Publication date: 1 October 2019
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2019.04.024
Fractional derivatives and integrals (26A33) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
- Radial symmetry results for fractional Laplacian systems
- Orbital stability for the Schrödinger operator involving inverse square potential
- A direct method of moving planes for the fractional Laplacian
- Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions
- The Brezis-Nirenberg type problem involving the square root of the Laplacian
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Maximum principles for the fractional p-Laplacian and symmetry of solutions
- Stability of standing waves for the nonlinear fractional Schrödinger equation
- Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities
- Stability of standing waves for the fractional Schrödinger-Hartree equation
- On fractional Schrödinger systems of Choquard type
- On the orbital stability of fractional Schrödinger equations
- Indefinite fractional elliptic problem and Liouville theorems
- A concave—convex elliptic problem involving the fractional Laplacian
- Symmetry of solutions to some systems of integral equations
- Euler Equations, Navier-Stokes Equations and Turbulence
- Lévy Processes and Stochastic Calculus
- Uniqueness of Positive Bound States to Schrödinger Systems with Critical Exponents
- The Fractional Laplacian
- An Extension Problem Related to the Fractional Laplacian
- Classification of solutions for an integral equation
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