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EXISTENCE OF POSITIVE SOLUTION FOR A QUASI-LINEAR PROBLEM WITH CRITICAL GROWTH IN N+

Published online by Cambridge University Press:  01 May 2009

CLAUDIANOR O. ALVES ,
ANGELO R. F. DE HOLANDA  and
JOSÉ A. FERNANDES
CLAUDIANOR O. ALVES
Affiliation:
Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática e Estatística CEP: 58109-970, Campina Grande-PB, Brazil e-mail: [email protected]; [email protected]; [email protected]
ANGELO R. F. DE HOLANDA
Affiliation:
Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática e Estatística CEP: 58109-970, Campina Grande-PB, Brazil e-mail: [email protected]; [email protected]; [email protected]
JOSÉ A. FERNANDES
Affiliation:
Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática e Estatística CEP: 58109-970, Campina Grande-PB, Brazil e-mail: [email protected]; [email protected]; [email protected]
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Abstract

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In this paper we show existence of positive solutions for a class of quasi-linear problems with Neumann boundary conditions defined in a half-space and involving the critical exponent.

Keywords

35A1535H3035B33
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 2 , May 2009 , pp. 367 - 383
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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