Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
type: Item
instance of: scholarly article
title: Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
zbMATH Open document ID: 1245.35033
author: Sergei I. Shmarev
author: Stanislav Antontsev
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2006-07-20T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35J56
Mathematics Subject Classification ID: 47J30
zbMATH DE Number: 5042276
Wikidata QID: Q59227402
MaRDI profile type: Publication
full work available at URL: j.na.2005.09.035
OpenAlex ID: W2085546842
cites work: Regularity results for a class of functionals with non-standard growth
cites work: Regularity results for electrorheological fluids: The stationary case
cites work: Regularity results for stationary electro-rheological fluids
cites work: Regularity results for parabolic systems related to a class of non-Newtonian fluids.
cites work: Equivalent Norms for Sobolev Spaces
cites work: Q4504726
cites work: Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity
cites work: A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
cites work: Q5465366
cites work: Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
cites work: Q4003799
cites work: Maximal function on generalized Lebesgue spaces L^p(⋅)
cites work: Regularity for degenerate elliptic problems via \(p\)-harmonic approximation
cites work: Sobolev embeddings with variable exponent
cites work: Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
cites work: Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
cites work: Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
cites work: Q4237769
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: Hartman-type results for \(p(t)\)-Laplacian systems
cites work: Q4454131
cites work: The existence of solutions for elliptic systems with nonuniform growth
cites work: Q4021390
cites work: Linear and quasilinear elliptic equations
cites work: Regularity and existence of solutions of elliptic equations with p,q- growth conditions
cites work: Orlicz spaces and modular spaces
cites work: The strong maximum principle revisited.
cites work: Mathematical modeling of electrorheological materials
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: Convolution type operators inlp(x)
cites work: Q4378409
cites work: Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\).
cites work: A strong maximum principle for some quasilinear elliptic equations
cites work: On Lavrentiev's phenomenon
cites work: Q3840819
cites work: On some variational problems
cites work: Q3446493
DOI: 10.1016/J.NA.2005.09.035
description: scientific article