Existence of solutions for prescribed variable exponent mean curvature system boundary value problems
type: Item
instance of: scholarly article
title: Existence of solutions for prescribed variable exponent mean curvature system boundary value problems
zbMATH Open document ID: 1181.34027
author: Qihu Zhang
author: Zhimei Qiu
author: Xiaopin Liu
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-07-24T00:00:00Z
review text: Some existence results for the usual mean curvature systems are generalized to variable exponent mean curvature systems by the Leray-Schauder degree theorem. Sufficient conditions for the existence of solutions to the variable exponent mean curvature systems are given. Asymptotic behavior of solutions are discussed.
reviewed by: Haiyan Wang
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 5586831
zbMATH Keywords: Variable exponent
zbMATH Keywords: Leray-Schauder degree fixed point theorem
MaRDI profile type: Publication
full work available at URL: j.na.2009.01.190
OpenAlex ID: W2042348628
cites work: Entire radial solutions of elliptic systems and inequalities of the mean curvature type
cites work: On the existence of large solutions for equations of prescribed mean curvature
cites work: Q3359115
cites work: Existence and behavior of the radial limits of a bounded capillary surface at a corner
cites work: Solution to the boundary blowup problem for \(k\)-curvature equation
cites work: The Dirichlet problem for the prescribed curvature equations
cites work: Existence of solutions for weighted \(p(r)\)-Laplacian system boundary value problems
cites work: Regularity results for a class of functionals with non-standard growth
cites work: Regularity results for stationary electro-rheological fluids
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: Hölder continuity of the gradient of p(x)-harmonic mappings
cites work: Maximal function on generalized Lebesgue spaces L^p(⋅)
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
cites work: Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
cites work: On generalized Orlicz-Sobolev space
cites work: Q4021390
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\).
cites work: AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
DOI: 10.1016/J.NA.2009.01.190
description: scientific article; zbMATH DE number 5586831