Entropy solutions of some nonlinear elliptic problems with measure data in Musielak-Orlicz spaces

In this work, we prove an existence theorem of entropy solutions for nonlinear elliptic problem of the type − div(a(x, u, ∇u) + Φ(x, u)) = µ in Ω, in the setting of Musielak-Orlicz spaces. The lower order term Φ verifies the natural growth condition, no ∆2-condition is assumed on the Musielak funct...

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Bibliographic Details
Main Authors: Rachid Bouzyani, Badr El Haji, Mostafa El Moumni
Format: Article
Language:English
Published: Sapienza Università Editrice 2022-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(1)/1-22.pdf