Existence of a renormalized solution to a nonlinear elliptic equation with L1-data in the space Rn
- Authors: Kozhevnikova L.M.1,2
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Affiliations:
- Ufa University of Science and Technology
- Elabuga Institute of Kazan Federal University
- Issue: Vol 70, No 2 (2024): Functional spaces. Differential operators. Problems of mathematics education
- Pages: 278-299
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/39911
- DOI: https://doi.org/10.22363/2413-3639-2024-70-2-278-299
- EDN: https://elibrary.ru/YKDZHU
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Abstract
We consider a second-order quasilinear elliptic equation with an integrable right-hand side in the space Rn. Restrictions on the structure of the equation are formulated in terms of a generalized N -function. In the nonreflexive Muzilak-Orlicz-Sobolev spaces, the existence of a renormalized solution in the space Rn is proved.
About the authors
L. M. Kozhevnikova
Ufa University of Science and Technology; Elabuga Institute of Kazan Federal University
Author for correspondence.
Email: kosul@mail.ru
Ufa, Russia; Elabuga, Russia
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