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

Lynnyngs Kelly Arruda; Francisco Odair de Paiva; Ilma Marques

doi:10.3934/proc.2011.2011.112

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2011, Volume 2011: 112-116. Doi: 10.3934/proc.2011.2011.112 open access

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

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

Received: June 30, 2010

Revised: January 31, 2011

Published: August 2017

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Abstract

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

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

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