Solutions to the nonlinear Schrödinger systems involving the fractional Laplacian
From MaRDI portal
Publication:824856
DOI10.1186/s13660-018-1874-9zbMath1498.35589OpenAlexW2899448015WikidataQ58705360 ScholiaQ58705360MaRDI QIDQ824856
Publication date: 15 December 2021
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-018-1874-9
Fractional derivatives and integrals (26A33) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)
Related Items (3)
Symmetry and monotonicity of positive solutions to Schrödinger systems with fractional \(p\)-Laplacians ⋮ Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations ⋮ A direct method of moving planes for fully nonlinear nonlocal operators and applications
Cites Work
- On fractional capacities relative to bounded open Lipschitz sets
- A Liouville type theorem for poly-harmonic Dirichlet problems in a half space
- A direct method of moving planes for the fractional Laplacian
- Fractional capacities relative to bounded open Lipschitz sets complemented
- Characterization of balls in terms of Bessel-potential integral equation
- A tracing of the fractional temperature field
- Monotonicity and radial symmetry results for Schrödinger systems with fractional diffusion
- Some notes on supersolutions of fractional \(p\)-Laplace equation
- A direct method of moving planes for a fully nonlinear nonlocal system
- Liouville theorems involving the fractional Laplacian on a half space
- Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
- Indefinite fractional elliptic problem and Liouville theorems
- A direct blowing-up and rescaling argument on nonlocal elliptic equations
- Existence and multiplicity of solutions for nonlocal systems involving fractional Laplacian with non-differentiable terms
- Nonlocal Operators with Applications to Image Processing
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Fractional Laplacian system involving doubly critical nonlinearities in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>ℝ</mml:mi> <mml:mi>N</mml:mi> </mml:msup> </mml:mrow> </mml:math>
- Financial Modelling with Jump Processes
- On the method of moving planes and the sliding method
- The maximum principles for fractional Laplacian equations and their applications
- An Extension Problem Related to the Fractional Laplacian
- Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality
This page was built for publication: Solutions to the nonlinear Schrödinger systems involving the fractional Laplacian
