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.

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