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On the Boyarsky–Meyers estimate for the gradient of the solution to the Dirichlet problem for the second order elliptic equation with drift. The case the critical Sobolev exponen
- Authors: Alkhutov Y.A.1, Chechkina A.G.2,3
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Affiliations:
- Vladimir State University named after Alexander and Nikolay Stoletovs
- Lomonosov Moscow State University
- Ufa Science Center of the Russian Academy of Sciences
- Issue: Vol 516, No 1 (2024)
- Pages: 87-92
- Section: MATHEMATICS
- URL: https://journals.rcsi.science/2686-9543/article/view/265337
- DOI: https://doi.org/10.31857/S2686954324020149
- EDN: https://elibrary.ru/XHSNOU
- ID: 265337
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Abstract
The increased integrability of the gradient of the solution to the Increased integrability of the gradient o the solution to the homogeneous Dirichlet problem for the Poisson equation with lower terms in a bounded Lipschitz domain is established. A proof of the unique solvability of this problem is also given.
About the authors
Yu. A. Alkhutov
Vladimir State University named after Alexander and Nikolay Stoletovs
Author for correspondence.
Email: yurij-alkhutov@yandex.ru
Russian Federation, Vladimir
A. G. Chechkina
Lomonosov Moscow State University; Ufa Science Center of the Russian Academy of Sciences
Email: chechkina@gmail.com
Institute of Mathematics with Computer Center
Russian Federation, Moscow; UfaReferences
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