Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space
type: Item
instance of: scholarly article
title: Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space
zbMATH Open document ID: 1364.35421
author: Yong-Cai Geng
author: Sumit K. Garg
published in: Potential Analysis
publication date: 2017-04-28T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B53
Mathematics Subject Classification ID: 45G15
Mathematics Subject Classification ID: 35B07
zbMATH DE Number: 6708761
zbMATH Keywords: Liouville type theorem
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: half space
zbMATH Keywords: method of moving planes in integral forms
zbMATH Keywords: nonexistence
zbMATH Keywords: rotational symmetry
zbMATH Keywords: the fractional Laplacian
MaRDI profile type: Publication
full work available at URL: s11118-016-9594-6
OpenAlex ID: W2524438130
cites work: Non—existence of positive solutions to semilinear elliptic equations on r” or r” through the method of moving planes
cites work: Positive solutions of nonlinear problems involving the square root of the Laplacian
cites work: Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Liouville theorems involving the fractional Laplacian on a half space
cites work: Classification of solutions of some nonlinear elliptic equations
cites work: An integral system and the Lane-Emden conjecture
cites work: Classification of solutions for an integral equation
cites work: Classification of Solutions for a System of Integral Equations
cites work: A Liouville theorem for \(\alpha\)-harmonic functions in \(\mathbb{R}^n_+\)
cites work: A Liouville type theorem for poly-harmonic Dirichlet problems in a half space
cites work: Nonexistence results for a class of fractional elliptic boundary value problems
cites work: Monotonicity and nonexistence results for some fractional elliptic problems in the half-space
cites work: Liouville-type theorems for polyharmonic equations in $\mathbb{R}^N$ and in $\mathbb{R}^N_+$
cites work: Q3923023
cites work: Symmetry and related properties via the maximum principle
cites work: A priori bounds for positive solutions of nonlinear elliptic equations
cites work: Symmetry and monotonicity of integral equation systems
cites work: Q4380614
cites work: Local asymptotic symmetry of singular solutions to nonlinear elliptic equations
cites work: A Liouville Type Theorem for Poly-harmonic System with Dirichlet Boundary Conditions in a Half Space
cites work: Liouville-type theorems and decay estimates for solutions to higher order elliptic equations
cites work: Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality
cites work: Axial symmetry and regularity of solutions to an integral equation in a half-space
cites work: The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations
cites work: A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian
cites work: A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
DOI: 10.1007/S11118-016-9594-6
description: scientific article; zbMATH DE number 6708761