Existence and nonexistence of positive solutions to an integral system involving Wolff potential

DOI10.3934/CPAA.2016.15.385zbMath1329.45008OpenAlexW2525183665MaRDI QIDQ906796

Wu Chen, Zhong-Xue Lü

Publication date: 29 January 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.385

zbMATH Keywords

method of moving planesradial symmetryWolff potentialexistence and nonexistence

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Positive solutions of integral equations (45M20)

Related Items (1)

On the Wolff-type integral system with negative exponents

Cites Work

• Unnamed Item
• Sharp criteria of Liouville type for some nonlinear systems
• Some symmetry results for integral equations involving Wolff potential on bounded domains
• Decay estimation for positive solutions of a \(\gamma\)-Laplace equation
• Existence and symmetry of positive solutions of an integral equation system
• Regularity of solutions for an integral system of Wolff type
• Decay rates for solutions of an integral system of Wolff type
• The Wiener test and potential estimates for quasilinear elliptic equations
• Wolff's inequality for radially nonincreasing kernels and applications to trace inequalities
• Regularity of solutions for a system of integral equations
• Thin sets in nonlinear potential theory
• Potential estimates for a class of fully nonlinear elliptic equations.
• Super polyharmonic property of solutions for PDE systems and its applications
• Radial symmetry of solutions for some integral systems of Wolff type
• Quasilinear and Hessian equations of Lane-Emden type
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Classification of solutions for an integral equation

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