Multiplicity of positive solutions for singular elliptic systems with critical sobolev-hardy and concave exponents

Tsing San Hsu; Huei Lin Li

doi:10.1016/S0252-9602(11)60276-2

Multiplicity of positive solutions for singular elliptic systems with critical sobolev-hardy and concave exponents

Tsing San Hsu^*, Huei Lin Li

^*Corresponding author for this work

Center for General Education

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

8 Scopus citations

Abstract

In this paper, we consider a singular elliptic system with both concave nonlinearities and critical Sobolev-Hardy growth terms in bounded domains. By means of variational methods, the multiplicity of positive solutions to this problem is obtained.

Original language	English
Pages (from-to)	791-804
Number of pages	14
Journal	Acta Mathematica Scientia
Volume	31
Issue number	3
DOIs	https://doi.org/10.1016/S0252-9602(11)60276-2
State	Published - 05 2011

Keywords

Concave exponents
Critical Sobolev-Hardy exponent
Elliptic system
Nehari manifold

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10.1016/S0252-9602(11)60276-2

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title = "Multiplicity of positive solutions for singular elliptic systems with critical sobolev-hardy and concave exponents",

abstract = "In this paper, we consider a singular elliptic system with both concave nonlinearities and critical Sobolev-Hardy growth terms in bounded domains. By means of variational methods, the multiplicity of positive solutions to this problem is obtained.",

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

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AU - Li, Huei Lin

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AB - In this paper, we consider a singular elliptic system with both concave nonlinearities and critical Sobolev-Hardy growth terms in bounded domains. By means of variational methods, the multiplicity of positive solutions to this problem is obtained.

KW - Concave exponents

KW - Critical Sobolev-Hardy exponent

KW - Elliptic system

KW - Nehari manifold

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JO - Acta Mathematica Scientia

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Multiplicity of positive solutions for singular elliptic systems with critical sobolev-hardy and concave exponents

Abstract

Keywords

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