Existence of solutions for unilateral problems associated to some quasilinear anisotropic elliptic equations with measure data

In this paper, we will study the existence of solutions for some nonlinear anisotropic elliptic equation of the type where is a Leray-Lions operator, the Carathéodory function , , ) is a nonlinear lower order term that verify some natural growth and sign conditions, where the data = − div belongs to...

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Bibliographic Details
Published inNonautonomous Dynamical Systems Vol. 9; no. 1; pp. 68 - 90
Main Authors Al-Hawmi, Mohammed, Hjiaj, Hassane
Format Journal Article
LanguageEnglish
Published De Gruyter 01.01.2022
Subjects
35J15
35J62
anisotropic Sobolev spaces
entropy solutions
measure data
nonlinear elliptic equations
Unilateral problem
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ISSN2353-0626
2353-0626
DOI10.1515/msds-2022-0147

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Summary:In this paper, we will study the existence of solutions for some nonlinear anisotropic elliptic equation of the type where is a Leray-Lions operator, the Carathéodory function , , ) is a nonlinear lower order term that verify some natural growth and sign conditions, where the data = − div belongs to −dual and (·) ∈ , ).
ISSN:2353-0626
2353-0626
DOI:10.1515/msds-2022-0147