A remark on multiplicity of positive solutions for a class of quasilinear elliptic systems

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2011, 2011(Special): 112-116. doi: 10.3934/proc.2011.2011.112

A remark on multiplicity of positive solutions for a class of quasilinear elliptic systems

Lynnyngs Kelly Arruda ^1, , Francisco Odair de Paiva ^2, and Ilma Marques ^3,

1.	Universidade Federal de São Carlos, Departamento de Matemática - CCET, Caixa Postal 676, CEP: 13565-905, São Carlos - SP, Brazil
2.	Universidade Federal de São Carlos, Departamento de Matemática - CCET, Caixa Postal 676, CEP: 13565-905, S~ao Carlos - SP, Brazil
3.	Universidade Federal do ABC - CMCC, CEP: 09210-170, Santo André-SP, Brazil

Received July 2010 Revised February 2011 Published October 2011

Abstract
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Using variational methods, we prove a nonexistence and multiplicity result of positive solutions for a class of elliptic systems involving a parameter.

Keywords: (p, nonexistence, multiplicity, positive solutions, q)-Laplacian problems, variational methods.

Mathematics Subject Classification: Primary: 35J60, 35J20; Secondary: 58E30.

Citation: Lynnyngs Kelly Arruda, Francisco Odair de Paiva, Ilma Marques. A remark on multiplicity of positive solutions for a class of quasilinear elliptic systems. Conference Publications, 2011, 2011 (Special) : 112-116. doi: 10.3934/proc.2011.2011.112

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