Open AccessNonlinear elliptic equations with measure data in Orlicz spaces
Author(s) -
Ahmed Aberqi,
Jaouad Bennouna,
Mhamed Elmassoudi
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i12.1290
Subject(s) - sobolev space , mathematics , measure (data warehouse) , sign (mathematics) , nonlinear system , mathematical analysis , operator (biology) , space (punctuation) , pure mathematics , function (biology) , function space , measurable function , computer science , physics , bounded function , biochemistry , chemistry , repressor , quantum mechanics , database , evolutionary biology , biology , transcription factor , gene , operating system
UDC 517.5In this article, we study the existence result of the unilateral problemwhere is a Leray–Lions operator defined on Sobolev–Orlicz space where and are two complementary -functions, the first and the second lower terms and satisfies only the growth condition and any sign condition is assumed and where is a measurable function.