Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth
type: Item
instance of: scholarly article
title: Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth
zbMATH Open document ID: 1348.35117
author: Patrick Winkert
author: Rico Zacher
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2016-10-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1512.04328
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K92
zbMATH DE Number: 6637782
zbMATH Keywords: quasilinear parabolic equations
zbMATH Keywords: nonlinear boundary condition
zbMATH Keywords: nonstandard growth
zbMATH Keywords: variable exponents
zbMATH Keywords: De Giorgi iteration
zbMATH Keywords: a priori bounds
MaRDI profile type: Publication
OpenAlex ID: W2964128188
arXiv ID: 1512.04328
cites work: Regularity results for parabolic systems related to a class of non-Newtonian fluids.
cites work: Equivalent Norms for Sobolev Spaces
cites work: Existence theorems and qualitative properties of solutions to parabolic equations with a variable order of nonlinearity
cites work: Existence theorems for solutions of parabolic equations with variable order of nonlinearity
cites work: Wave equation with \(p(x,t)\)-Laplacian and damping term: existence and blow-up
cites work: Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions
cites work: Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
cites work: On stationary thermo-rheological viscous flows
cites work: Anisotropic parabolic equations with variable nonlinearity
cites work: On the blow-up of solutions to anisotropic parabolic equations with variable nonlinearity
cites work: Vanishing solutions of anisotropic parabolic equations with variable nonlinearity
cites work: Parabolic equations with double variable nonlinearities
cites work: Existence and uniqueness for doubly nonlinear parabolic equations with nonstandard growth conditions
cites work: Evolution PDEs with Nonstandard Growth Conditions
cites work: Calderón-Zygmund estimates for parabolic \(p(x,t)\)-Laplacian systems
cites work: On a \(p(t,x)\)-Laplace evolution equation with a stochastic force
cites work: Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data
cites work: Hölder estimates for parabolic \(p(x, t)\)-Laplacian systems
cites work: Very weak solutions of degenerate parabolic systems with non-standard \(p(x,t)\)-growth
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: Degenerate parabolic equations
cites work: Q4538829
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Partial regularity for parabolic systems with non-standard growth
cites work: A class of De Giorgi type and Hölder continuity
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Anisotropic nonlinear Neumann problems
cites work: Study of weak solutions for parabolic equations with nonstandard growth conditions
cites work: Q3104370
cites work: Corrigendum to: ``Existence and some properties of solutions for degenerate elliptic equations with exponent variable''
cites work: Q4021390
cites work: Q5562267
cites work: On a sub-supersolution method for variational inequalities with Leray-Lions operators in variable exponent spaces
cites work: Blow-up for parabolic and hyperbolic problems with variable exponents
cites work: Regularity of weak solutions of homogeneous or inhomogeneous quasilinear elliptic equations
cites work: Mathematical modeling of electrorheological materials
cites work: Q5667036
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: On the sufficient condition for regularity of a boundary point for singular parabolic equations with non-standard growth
cites work: Q3336200
cites work: Constant-sign and sign-changing solutions for nonlinear elliptic equations with Neumann boundary values
cites work: \(L^\infty\)-estimates for nonlinear elliptic Neumann boundary value problems
cites work: On the boundedness of solutions to elliptic variational inequalities
cites work: A priori bounds for weak solutions to elliptic equations with nonstandard growth
cites work: Hölder continuity of weak solutions for parabolic equations with nonstandard growh conditions
cites work: Hölder regularity of the gradient for the non-homogeneous parabolic \(p(x,t)\)-Laplacian equations
cites work: Hölder regularity for the general parabolic \(p(x, t)\)-Laplacian equations
cites work: Regularity of solutions of certain parabolic system with nonstandard growth condition
cites work: Q3840819
cites work: On some variational problems
cites work: On variational problems and nonlinear elliptic equations with nonstandard growth conditions
cites work: On the property of higher integrability for parabolic systems of variable order of nonlinearity
DOI: 10.1016/J.NA.2016.06.012
description: scientific article; zbMATH DE number 6637782