Existence of entropy solutions in Musielak Orlicz spaces via a sequence of penalized equations

This paper, is devoted to an existence result of entropy unilateral solutions for the nonlinear parabolic problems with obstacle in Musielak- Orlicz--spaces: $$ \partial_{t}u + A(u) + H(x,t,u,\nabla u) =f + div(\Phi(x,t,u))$$ and $$ u\geq \zeta \,\,\mbox{a.e. in }\,\,Q_T.$$ Where $A$ is a pseudomon...

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Bibliographic Details
Main Authors: Mhamed Elmassoudi, Ahmed Aberqi, Jaouad Bennouna
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-05-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/37269