Standard

Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity. / Antontsev, Stanislav; Shmarev, Sergey.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 195, 111724, 06.2020.

Research output: Contribution to journal › Article › peer-review

Harvard

Antontsev, S & Shmarev, S 2020, 'Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity', Nonlinear Analysis, Theory, Methods and Applications, vol. 195, 111724. https://doi.org/10.1016/j.na.2019.111724

APA

Antontsev, S., & Shmarev, S. (2020). Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity. Nonlinear Analysis, Theory, Methods and Applications, 195, [111724]. https://doi.org/10.1016/j.na.2019.111724

Vancouver

Antontsev S, Shmarev S. Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity. Nonlinear Analysis, Theory, Methods and Applications. 2020 Jun;195:111724. doi: 10.1016/j.na.2019.111724

Author

Antontsev, Stanislav ; Shmarev, Sergey. / Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity. In: Nonlinear Analysis, Theory, Methods and Applications. 2020 ; Vol. 195.

BibTeX

@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",

}

RIS

TY - JOUR

T1 - Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity

AU - Antontsev, Stanislav

AU - Shmarev, Sergey

N1 - 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: © 2019 Elsevier Ltd Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2020/6

Y1 - 2020/6

N2 - 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.

AB - 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.

KW - Higher regularity

KW - Singular parabolic equation

KW - Strong solutions

KW - Variable nonlinearity

KW - P(X

KW - CONTINUITY

KW - SYSTEMS

KW - HIGHER REGULARITY

UR - http://www.scopus.com/inward/record.url?scp=85076782817&partnerID=8YFLogxK

U2 - 10.1016/j.na.2019.111724

DO - 10.1016/j.na.2019.111724

M3 - Article

AN - SCOPUS:85076782817

VL - 195

JO - Nonlinear Analysis

JF - Nonlinear Analysis

SN - 0362-546X

M1 - 111724

ER -

ID: 26144657