Existence results for p(x)-Laplace equations
https://doi.org/10.25587/2411-9326-2024-4-106-117
Аннотация
The non-homogeneous Dirichlet problem for degenerate quasilinear parabolic equations is considered. We prove the existence of a solution u such that ut belongs to L∞. The L∞ estimate of ut is obtained by introducing a new time variable.
Об авторе
A.S. Tersenov
University of Crete, Department of Mathematics and Applied Mathematics
Греция
Греция
Alkis S. Tersenov
71003 Heraklion – Crete
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Рецензия
Для цитирования:
Tersenov A. Existence results for p(x)-Laplace equations. Математические заметки СВФУ. 2024;31(4):106-117. https://doi.org/10.25587/2411-9326-2024-4-106-117
For citation:
Tersenov A. Existence results for p(x)-Laplace equations. Mathematical notes of NEFU. 2024;31(4):106-117. https://doi.org/10.25587/2411-9326-2024-4-106-117
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