On the integral systems with negative exponents
type: Item
instance of: scholarly article
title: On the integral systems with negative exponents
zbMATH Open document ID: 1304.45006
author: Yutian Lei
published in: Discrete and Continuous Dynamical Systems
publication date: 2014-12-03T00:00:00Z
Mathematics Subject Classification ID: 45G15
Mathematics Subject Classification ID: 45M05
zbMATH DE Number: 6376348
zbMATH Keywords: singular integral equation
zbMATH Keywords: conformal invariant
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: classification of radial solutions
zbMATH Keywords: system
MaRDI profile type: Publication
full work available at URL: dcds.2015.35.1039
OpenAlex ID: W2315919721
cites work: Representation formulae for solutions to some classes of higher order systems and related Liouville theorems
cites work: Fractional Laplacian in conformal geometry
cites work: Classification of solutions of some nonlinear elliptic equations
cites work: Regularity of solutions for a system of integral equations
cites work: An integral system and the Lane-Emden conjecture
cites work: Classification of Solutions for a System of Integral Equations
cites work: Classification of solutions for an integral equation
cites work: An extended discrete Hardy-Littlewood-Sobolev inequality
cites work: Nonlinear biharmonic equations with negative exponents
cites work: Multiplicity of solutions for a fourth order equation with power-type nonlinearity
cites work: Global and local behavior of positive solutions of nonlinear elliptic equations
cites work: Liouville type results and regularity of the extremal solutions of biharmonic equation with negative exponents
cites work: Necessary conditions for existence results of some integral system
cites work: Quantitative analysis of some system of integral equations
cites work: Asymptotic radial symmetry and growth estimates of positive solutions to weighted Hardy-Littlewood-Sobolev system of integral equations
cites work: Axisymmetry of locally bounded solutions to an Euler-Lagrange system of the weighted Hardy-Littlewood-Sobolev inequality
cites work: Remark on some conformally invariant integral equations: the method of moving spheres
cites work: Uniqueness theorems through the method of moving spheres
cites work: Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
cites work: Properties of positive solutions to an elliptic equation with negative exponent
cites work: Q4444772
cites work: The proof of the Lane-Emden conjecture in four space dimensions
cites work: Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials
cites work: Exact solutions of nonlinear conformally invariant integral equations in \(\mathbf R^3\)
cites work: Uniqueness theorem for integral equations and its application
cites work: Liouville type theorems for integral equations and integral systems
DOI: 10.3934/DCDS.2015.35.1039
description: scientific article; zbMATH DE number 6376348