Regularity and radial symmetry of positive solutions for a higher order elliptic system

DOI10.1007/S10255-017-0662-5zbMath1368.45002OpenAlexW2608506403MaRDI QIDQ2013057

Huai-yu Zhou, Sufang Tang

Publication date: 3 August 2017

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-017-0662-5

zbMATH Keywords

regularityradial symmetryhigher order elliptic systemclassification of solutionthe method of moving plane

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Systems of nonlinear integral equations (45G15) Second-order elliptic systems (35J47)

Cites Work

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• Liouville type theorems for the system of integral equations
• Regularity of solutions for an integral system of Wolff type
• An integral system and the Lane-Emden conjecture
• Classification of positive solutions for nonlinear differential and integral systems with critical exponents
• Remark on some conformally invariant integral equations: the method of moving spheres
• Regularity of solutions for a system of integral equations
• Super polyharmonic property of solutions for PDE systems and its applications
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Uniqueness of Positive Bound States to Schrödinger Systems with Critical Exponents
• Classification of solutions for an integral equation

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