Existence of positive solutions for quasilinear elliptic systems with Sobolev critical exponents

DOI10.7153/DEA-03-05zbMATH Open1210.35083OpenAlexW2324292761MaRDI QIDQ3083985

Xiaoyan Cao, Zuodong Yang

Publication date: 14 March 2011

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/dea-03-05.pdf

zbMATH Keywords

comparison principleelliptic systemssupersolutionssubsolutions

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Comparison principles in context of PDEs (35B51) Boundary value problems for second-order elliptic systems (35J57)

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Existence of positive solutions for a quasilinear elliptic system involving critical Sobolev-Hardy exponents and concave-convex nonlinearities

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