Classification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system

DOI10.3934/math.2021794OpenAlexW3201931124MaRDI QIDQ2142937

Qiuping Liao, Yunhui Yi, Yaqiong Liu, Yunting Li

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021794

zbMATH Keywords

nonnegative solutionsfractional Laplaciansnonlocal nonlinearitiesdirect method of moving spheres

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Entire solutions to PDEs (35B08)

Related Items (1)

Classification of nonnegative solutions to static Schrödinger-Hartree-Maxwell system involving the fractional Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Liouville type theorem for poly-harmonic Dirichlet problems in a half space
• Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian
• A direct method of moving planes for the fractional Laplacian
• Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space
• Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Classification of positive solutions for nonlinear differential and integral systems with critical exponents
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Regularity, symmetry, and uniqueness of some integral type quasilinear equations
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Symmetry and related properties via the maximum principle
• Classification of solutions of some nonlinear elliptic equations
• Classification of solutions of higher order conformally invariant equations
• On uniqueness of solutions of \(n\)-th order differential equations in conformal geometry
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• Classification of nonnegative classical solutions to third-order equations
• Regularity and classification of solutions to static Hartree equations involving fractional Laplacians
• Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes
• Uniqueness theorems through the method of moving spheres
• Classification of nonnegative solutions to an equation involving the Laplacian of arbitrary order
• Classification of positive solutions for an integral system on the half space
• A semi-analytical approach to Caputo type time-fractional modified anomalous sub-diffusion equations
• Maximum principles and monotonicity of solutions for fractional \(p\)-equations in unbounded domains
• Symmetry and monotonicity of positive solutions for an integral system with negative exponents
• Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell Equations with combined nonlinearities
• Classification of positive solutions for a static Schrödinger-Maxwell equation with fractional Laplacian
• Liouville theorems involving the fractional Laplacian on a half space
• A direct method of moving spheres on fractional order equations
• A symmetry problem in potential theory
• Indefinite fractional elliptic problem and Liouville theorems
• A concave—convex elliptic problem involving the fractional Laplacian
• A New, Rearrangement-free Proof of the Sharp Hardy–Littlewood–Sobolev Inequality
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Euler Equations, Navier-Stokes Equations and Turbulence
• Multidimensional solutions of time-fractional diffusion-wave equations
• Classification of Solutions for a System of Integral Equations
• A necessary and sufficient condition for the nirenberg problem
• Qualitative Analysis for the Static Hartree-Type Equations
• Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians
• Classification of nonnegative solutions to a bi-harmonic equation with Hartree type nonlinearity
• A Liouville Type Theorem for Poly-harmonic System with Dirichlet Boundary Conditions in a Half Space
• An Extension Problem Related to the Fractional Laplacian
• Classification of solutions for an integral equation
• Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations

This page was built for publication: Classification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system