Affiliation:
1. Unidade Acadêmica de Matemática‐UAMAT Universidade Federal de Campina Grande Campina Grande PB Brazil
2. Departamento de Matemática Universidade de Brasília Brasília‐DF Brazil
Abstract
AbstractIn this work, we study the existence of positive solutions for the following class of semipositone quasilinear problems:
where is a bounded domain, , are parameters, is a Caractheodory function, and has a critical growth with relation to the Orlicz–Sobolev space . The main tools used are variational methods, a concentration compactness theorem for Orlicz–Sobolev space and some priori estimates.
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Fundação de Apoio à Pesquisa do Estado da Paraíba
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
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