Existence via partial regularity for degenerate systems of variational inequalities with natural growth
We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.
We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.
Finite element analysis of unilateral problems with obstacles on the boundary is given. Provided the exact solution is smooth enough, we obtain the rate of convergence for the case of one and two (lower and upper) obstacles on the boundary. At the end of this paper the proof of convergence without any regularity assumptions on the exact solution is given.
The paper deals with the problem of quasistatic frictionless contact between an elastic body and a foundation. The elasticity operator is assumed to vanish for zero strain, to be Lipschitz continuous and strictly monotone with respect to the strain as well as Lebesgue measurable on the domain occupied by the body. The contact is modelled by normal compliance in such a way that the penetration is limited and restricted to unilateral contraints. In this problem we take into account adhesion which...
This paper is concerned with extending Gehring theory to be applicable to Rothe's approximate solutions to hyperbolic differential equations.
A class of existence theorems in the context of solving a general class of nonlinear implicit inclusion problems are examined based on -maximal relaxed accretive mappings in a real Banach space setting.