Email this article Entropy solution for equation with a measure valued potential in hyperbolic space
- Authors: Vildanova V.F.1, Mukminov F.K.2
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Affiliations:
- Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of the Russian Academy of Sciences
- Bashkir State Pedagogical University n. a. M. Akmulla
- Issue: Vol 214, No 11 (2023)
- Pages: 37-62
- Section: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/147922
- DOI: https://doi.org/10.4213/sm9875
- ID: 147922
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Abstract
We consider the Dirichlet problem in the hyperbolic space for a nonlinear elliptic equation of the second order with singular measure-valued potential. The assumptions on the structure of the equation are stated in terms of a generalized N-function. It is shown that this problem has an entropy solution.
About the authors
Venera Fidarisovna Vildanova
Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of the Russian Academy of Sciences
Author for correspondence.
Email: mfkh@rambler.ru
Candidate of physico-mathematical sciences, Associate professor
Farit Khamzaevich Mukminov
Bashkir State Pedagogical University n. a. M. Akmulla
Email: mfkh@rambler.ru
Doctor of physico-mathematical sciences, Professor
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