Existence of entropy solution to the Neumann problem for elliptic equation with measure-valued potential
- Autores: Vildanova V.F.1, Mukminov F.K.1
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Afiliações:
- Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
- Edição: Volume 89, Nº 3 (2025)
- Páginas: 45-79
- Seção: Articles
- URL: https://bakhtiniada.ru/1607-0046/article/view/303959
- DOI: https://doi.org/10.4213/im9565
- ID: 303959
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Resumo
In a bounded or unbounded domain in $\mathbb{R}^n$,the Neumann problem for a non-linear second order elliptic equation with measure-valued potential is considered.The assumptions on the structure of the equation are stated in terms of a generalized $N$-function.The existence of an entropy solution to the problem is proved.
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Sobre autores
Venera Vildanova
Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
Autor responsável pela correspondência
Email: gilvenera@mail.ru
Candidate of physico-mathematical sciences, Associate professor
Farit Mukminov
Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
Email: mfkh@rambler.ru
Doctor of physico-mathematical sciences, Professor
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