Monotonicity and symmetry of solutions to fractional Laplacian equation
type: Item
instance of: scholarly article
title: Monotonicity and symmetry of solutions to fractional Laplacian equation
zbMATH Open document ID: 1366.35247
author: Tingzhi Cheng
published in: Discrete and Continuous Dynamical Systems
publication date: 2017-05-03T00:00:00Z
Mathematics Subject Classification ID: 35S15
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6710638
zbMATH Keywords: monotonicity
zbMATH Keywords: symmetry
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: positive solutions
zbMATH Keywords: direct method of moving planes for fractional Laplacian
MaRDI profile type: Publication
full work available at URL: dcds.2017154
OpenAlex ID: W2605716808
cites work: Elliptic equations with nearly critical growth
cites work: Q4284697
cites work: Q4389752
cites work: Inequalities for second-order elliptic equations with applications to unbounded domains. I
cites work: On the method of moving planes and the sliding method
cites work: Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
cites work: A concave-convex elliptic problem involving the fractional Laplacian
cites work: Q4735483
cites work: Positive solutions of nonlinear problems involving the square root of the Laplacian
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Liouville theorems involving the fractional Laplacian on a half space
cites work: Regularity of solutions for a system of integral equations
cites work: Q3065143
cites work: Classification of solutions for an integral equation
cites work: Qualitative properties of solutions for an integral equation
cites work: A direct method of moving planes for the fractional Laplacian
cites work: Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
cites work: A Liouville type theorem for poly-harmonic Dirichlet problems in a half space
cites work: A priori estimates and existence of positive solutions of semilinear elliptic equations
cites work: Symmetry and related properties via the maximum principle
cites work: Q3923023
cites work: Q3811028
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Monotonicity and Symmetry of Solutions of Fully Nonlinear Elliptic Equations on Bounded domains
cites work: Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
cites work: Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
cites work: Uniqueness of positive solutions of semilinear equations in \(R^ n\).
DOI: 10.3934/DCDS.2017154
Recommended article: Monotonicity and symmetry of solutions to fractional \(p\)-Laplacian equations
Recommended article: Monotonicity and symmetry of solutions to fractional \(p\)-Laplacian systems
Recommended article: Monotonicity and symmetry of positive solutions to fractional p-Laplacian equation
Recommended article: Symmetry and monotonicity of solutions for equations involving the fractional Laplacian of higher order
Recommended article: SYMMETRY AND MONOTONICITY OF SOLUTIONS TO FRACTIONAL ELLIPTIC AND PARABOLIC EQUATIONS
Recommended article: Monotonicity and symmetry of solutions to fractional Laplacian in strips
Recommended article: Symmetry and monotonicity of positive solutions for a Choquard equation with the fractional Laplacian
Recommended article: Symmetry and monotonicity of a nonlinear Schrödinger equation involving the fractional Laplacian
Recommended article: Q3180491
Recommended article: Monotonicity and symmetry of fractional Lane–Emden-type equation in the parabolic domain
description: scientific article; zbMATH DE number 6710638