Electron. J. Diff. Equ., Vol. 2013 (2013), No. 192, pp. 1-10.

Positive solutions for classes of positone/semipositone systems with multiparameters

Rodrigo da Silva Rodrigues

Abstract:
We study the existence and nonexistence of solution for a system involving p,q-Laplacian and nonlinearity with multiple parameteres. We use the method of lower and upper solutions for prove the existence of solutions.

Submitted May 6, 2012. Published August 30, 2013.
Math Subject Classifications: 34A38, 35B09.
Key Words: Existence of positive solution; nonexistence of solution; positone system; semipositone system.

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Rodrigo da Silva Rodrigues
Departamento de Matemática
Universidade Federal de São Carlos
13565-905, São Carlos, SP, Brasil
email: rodrigosrodrigues@ig.com.br, rodrigo@dm.ufscar.br

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