@article{034a9b046bcd4da5890331e4e5b7275f,
title = "Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity",
abstract = "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.",
keywords = "Higher regularity, Singular parabolic equation, Strong solutions, Variable nonlinearity, P(X, CONTINUITY, SYSTEMS, HIGHER REGULARITY",
author = "Stanislav Antontsev and Sergey Shmarev",
note = "Funding Information: The first author was supported by the Russian Federation government, Grant No. 14.W03.31.0002, Russia, and by the Portuguese Foundation for Science and Technology, Portugal, under the project: UID/MAT/04561/2019.The second author acknowledges the support of the Research GrantMTM2017-87162-P, Spain. Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2020",
month = jun,
doi = "10.1016/j.na.2019.111724",
language = "English",
volume = "195",
journal = "Nonlinear Analysis",
issn = "0362-546X",
publisher = "Elsevier Ltd",
}