Multiple positive solutions for a critical elliptic system with concaveconvex nonlinearities

Tsing San Hsu; Huei Li Lin

doi:10.1017/S0308210508000875

Multiple positive solutions for a critical elliptic system with concaveconvex nonlinearities

Tsing San Hsu^*, Huei Li Lin

^*Corresponding author for this work

Center for General Education

Research output: Contribution to journal › Journal Article › peer-review

32 Scopus citations

Abstract

We consider a semilinear elliptic system with both concaveconvex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.

Original language	English
Pages (from-to)	1163-1177
Number of pages	15
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	139
Issue number	6
DOIs	https://doi.org/10.1017/S0308210508000875
State	Published - 12 2009

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title = "Multiple positive solutions for a critical elliptic system with concaveconvex nonlinearities",

abstract = "We consider a semilinear elliptic system with both concaveconvex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.",

author = "Hsu, {Tsing San} and Lin, {Huei Li}",

year = "2009",

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language = "英语",

volume = "139",

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journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",

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AU - Lin, Huei Li

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AB - We consider a semilinear elliptic system with both concaveconvex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.

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JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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Multiple positive solutions for a critical elliptic system with concaveconvex nonlinearities

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