Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity Научная публикация
| Журнал |
Nonlinear Analysis
ISSN: 0362-546X |
||||||
|---|---|---|---|---|---|---|---|
| Вых. Данные | Год: 2020, Том: 195, Страницы: 111724 Страниц : 1 DOI: 10.1016/j.na.2019.111724 | ||||||
| Ключевые слова | Higher regularity; Singular parabolic equation; Strong solutions; Variable nonlinearity | ||||||
| Авторы |
|
||||||
| Организации |
|
Реферат:
We consider the homogeneous Dirichlet problem for the equation [Formula presented], d≥2, with the variable exponent [Formula presented], p±=const. We find sufficient conditions on p, ∂Ω, f and u(x,0) which provide the existence of solutions with the following global regularity properties: [Formula presented] For the solutions of the stationary counterpart of Eq. (0.1), [Formula presented] on ∂Ω,the inclusions [Formula presented] are established.
Библиографическая ссылка:
Antontsev S.
, Shmarev S.
Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity
Nonlinear Analysis. 2020. V.195. P.111724. DOI: 10.1016/j.na.2019.111724 WOS Scopus РИНЦ OpenAlex
Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity
Nonlinear Analysis. 2020. V.195. P.111724. DOI: 10.1016/j.na.2019.111724 WOS Scopus РИНЦ OpenAlex
Идентификаторы БД:
| Web of science: | WOS:000522150400018 |
| Scopus: | 2-s2.0-85076782817 |
| РИНЦ: | 43218729 |
| OpenAlex: | W2994896441 |