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Moscow Mathematical Journal, 2022, Volume 22, Number 3, Pages 401–426
DOI: https://doi.org/10.17323/1609-4514-2022-22-3-401-426 (Mi mmj832) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A Lions type result for a large class of Orlicz–Sobolev space and applications

Claudianor O. Alvesa, Marcos L. Carvalhob

a Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, 58429-970, Campina Grande - PB, Brazil
b Instituto de Matemática e Estatística, Universidade Federal de Goias, 74001-970, Goiânia, GO, Brazil
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DOI: https://doi.org/10.17323/1609-4514-2022-22-3-401-426
URL: https://www.mathjournals.org/mmj/2022-022-003/2022-022-003-003.html
Abstract: In this paper we prove a Lions type result for a large class of Orlicz–Sobolev space that can be nonreflexive and use this result to show the existence of solution for a large class of quasilinear problem on a nonreflexive Orlicz–Sobolev space.
Key words and phrases: Orlicz–Sobolev spaces, variational methods, quasilinear elliptic problems, $\Delta_{2}$-condition, modular.
Document Type: Article
MSC: 35A15, 35J62, 46E30
Language: English
Citation: Claudianor O. Alves, Marcos L. Carvalho, “A Lions type result for a large class of Orlicz–Sobolev space and applications”, Mosc. Math. J., 22:3 (2022), 401–426
Citation in format AMSBIB
\Bibitem{AlvCar22}
\by Claudianor~O.~Alves, Marcos~L.~Carvalho
\paper A Lions type result for a large class of Orlicz--Sobolev space and applications
\jour Mosc. Math.~J.
\yr 2022
\vol 22
\issue 3
\pages 401--426
\mathnet{http://mi.mathnet.ru/mmj832}
\crossref{https://doi.org/10.17323/1609-4514-2022-22-3-401-426}
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    • This publication is cited in the following 2 articles:
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