Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian

From MaRDI portal
Publication:495817

DOI10.3934/dcds.2016.36.1125zbMath1322.31007arXiv1401.7402OpenAlexW2341083856MaRDI QIDQ495817

Wenxiong Chen, Xuewei Cui, Zixia Yuan, Ran Zhuo

Publication date: 15 September 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7402



Related Items

A direct method of moving planes for a fully nonlinear nonlocal system, Monotonicity and symmetry of solutions to fractional Laplacian in strips, Initial pointwise bounds and blow-up for parabolic Choquard-Pekar inequalities, Non-existence for a semi-linear fractional system with Sobolev exponents via direct method of moving spheres, Classification of nonnegative solutions to static Schrödinger-Hartree-Maxwell system involving the fractional Laplacian, Integrability of positive solutions of the integral system involving the Riesz potentials, Radial symmetry and monotonicity of solutions to a system involving fractional \(p\)-Laplacian in a ball, Symmetry and nonexistence of solutions for a fully nonlinear nonlocal system, On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents, Symmetry and monotonicity of solutions for equations involving the fractional Laplacian of higher order, Classification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system, Radial symmetry of a relativistic Schrödinger tempered fractional p-Laplacian model with logarithmic nonlinearity, Radial symmetry results for fractional Laplacian systems, A priori bounds and the existence of positive solutions for weighted fractional systems, Classification of solutions to higher fractional order systems, Liouville type theorems for the system of fractional nonlinear equations in \(\mathbb R^n_+\), Symmetry and monotonicity of positive solutions for a Choquard equation with the fractional Laplacian, Symmetry and non-existence of solutions to an integral system, Symmetry and nonexistence of positive solutions for fractional systems, Direct method of moving planes for logarithmic Laplacian system in bounded domains, A direct method of moving spheres on fractional order equations, Maximum principles for a fully nonlinear nonlocal equation on unbounded domains, Maximum principles for the fractional p-Laplacian and symmetry of solutions, Solutions of fully nonlinear nonlocal systems, Radial symmetry of nonnegative solutions for nonlinear integral systems, Symmetric properties for system involving uniformly elliptic nonlocal operators, Monotonicity and symmetry of positive solutions to fractional p-Laplacian equation, Liouville-type theorems for higher-order Lane–Emden system in exterior domains, Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains, Qualitative properties of solutions for dual fractional nonlinear parabolic equations, A direct method of moving planes for the fractional \(p\)-Laplacian system with negative powers, Monotonicity and radial symmetry results for Schrödinger systems with fractional diffusion, Symmetry of positive solutions for Lane-Emden systems involving the logarithmic Laplacian, An anisotropic tempered fractional \(p\)-Laplacian model involving logarithmic nonlinearity, Symmetry of solutions for a fractional system, The maximum principles for fractional Laplacian equations and their applications, Maximum principles and monotonicity of solutions for fractional \(p\)-equations in unbounded domains, Unnamed Item, A Hopf type lemma for fractional equations, Fundamental solutions of a class of homogeneous integro-differential elliptic equations, Fractional equations with indefinite nonlinearities, Direct methods on fractional equations, Existence of solutions to the supercritical Hardy-Littlewood-Sobolev system with fractional Laplacians, Non-existence of positive solutions for a higher order fractional equation, Symmetry for an integral system with general nonlinearity, Liouville's theorem for a fractional elliptic system, Symmetry properties in systems of fractional Laplacian equations, Nonexistence and symmetry of solutions for Schrödinger systems involving fractional Laplacian, A Liouville theorem for the higher-order fractional Laplacian, Liouville theorems for nonnegative solutions to static weighted Schrödinger-Hartree-Maxwell type equations with combined nonlinearities, Symmetry and nonexistence results for a fractional Choquard equation with weights, The properties of positive solutions to semilinear equations involving the fractional Laplacian, Symmetry of positive solutions to the coupled fractional system with isolated singularities, A direct method of moving planes for the fractional Laplacian, Radial symmetry of solution for fractional \(p\)- Laplacian system, Classification of nonnegative solutions to an equation involving the Laplacian of arbitrary order, Monotonicity results for the fractional p-Laplacian in unbounded domains, Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions, Radial symmetry of standing waves for nonlinear fractional Laplacian Hardy-Schrödinger systems, Symmetric properties of positive solutions for fully nonlinear nonlocal system, Non-existence results for cooperative semi-linear fractional system via direct method of moving spheres, The sliding methods for the fractional \(p\)-Laplacian, Liouville theorem and isolated singularity of fractional Laplacian system with critical exponents, Liouville-type theorems for sign-changing solutions to nonlocal elliptic inequalities and systems with variable-exponent nonlinearities, A direct blowing-up and rescaling argument on nonlocal elliptic equations, Symmetry and nonexistence of positive solutions for fractional Choquard equations, A Hopf lemma and regularity for fractional \(p \)-Laplacians, Nonexistence of positive solutions for an indefinite fractional \(p\)-Laplacian equation, Liouville theorems for nonnegative solutions to Hardy-Hénon type system on a half space, Classification of anti-symmetric solutions to nonlinear fractional Laplace equations, Positive solutions for a weighted fractional system, Radial symmetry for systems of fractional Laplacian, Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell Equations with combined nonlinearities, Regularity and existence of positive solutions for a fractional system, The sharp exponent in the study of the nonlocal Hénon equation in \(\mathbb{R}^N\): a Liouville theorem and an existence result, Radial symmetry for a generalized nonlinear fractional p-Laplacian problem, Asymptotic estimates for an integral equation in theory of phase transition, Monotonicity of solutions for fractional \(p\)-equations with a gradient term, Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝn, Classification of nonnegative solutions to Schrödinger equation with logarithmic nonlinearity, The sliding method for fractional Laplacian systems



Cites Work