Existence of entropy solution to the Neumann problem for elliptic equation with measure-valued potential
- Authors: Vildanova V.F.1, Mukminov F.K.1
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Affiliations:
- Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
- Issue: Vol 89, No 3 (2025)
- Pages: 45-79
- Section: Articles
- URL: https://bakhtiniada.ru/1607-0046/article/view/303959
- DOI: https://doi.org/10.4213/im9565
- ID: 303959
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Abstract
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.
About the authors
Venera Fidarisovna Vildanova
Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
Author for correspondence.
Email: gilvenera@mail.ru
Candidate of physico-mathematical sciences, Associate professor
Farit Khamzaevich 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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