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- Title
WEAK SOLUTIONS FOR NONLOCAL EVOLUTION VARIATIONAL INEQUALITIES INVOLVING GRADIENT CONSTRAINTS AND VARIABLE EXPONENT.
- Authors
MINGQI XIANG; YONGQIANG FU
- Abstract
In this article, we study a class of nonlocal quasilinear parabolic variational inequality involving p(x)-Laplacian operator and gradient constraint on a bounded domain. Choosing a special penalty functional according to the gradient constraint, we transform the variational inequality to a parabolic equation. By means of Galerkin's approximation method, we obtain the existence of weak solutions for this equation, and then through a priori estimates, we obtain the weak solutions of variational inequality.
- Subjects
NUMERICAL solutions to partial differential equations; LAPLACIAN operator; DIFFERENTIAL equations; MATHEMATICAL models; MATHEMATICAL analysis
- Publication
Electronic Journal of Differential Equations, 2013, Vol 2013, p1
- ISSN
1550-6150
- Publication type
Article