Author:
Kashnikova A. P.,Kozhevnikova L. M.
Abstract
Abstract
A second-order quasilinear elliptic equation with a measure of special form on the right-hand side is considered. Restrictions on the structure of the equation are imposed in terms of a generalized
-function such that the conjugate function obeys the
-condition and the corresponding Musielak-Orlicz space is not necessarily reflexive. In an arbitrary domain satisfying the segment property, the existence of an entropy solution of the Dirichlet problem is proved. It is established that this solution is renormalized.
Bibliography: 29 titles.
Subject
Algebra and Number Theory
Reference39 articles.
1. Renormalized solutions of elliptic equations with general measure data;Dal Maso;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),1999
2. A new proof of the stability of renormalized solutions to elliptic equations with measure data;Malusa;Asymptot. Anal.,2005
3. Measure data elliptic problems with generalized Orlicz growth;Chlebicka,2020
4. Essentially fully anisotropic Orlicz functions and uniqueness to measure data problem;Chlebicka;Math. Methods Appl. Sci.,2021
5. Renormalized solutions of elliptic equations with variable exponents and general measure data;Kozhevnikova;Mat. Sb.,2020
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