Correctors for Some Asymptotic Problems Michel Chipot And

On the Asymptotic Behavior of Elliptic, Anisotropic Singular Perturbations Problems

In this paper, we consider anitropic singular perturbations of some elliptic boundary value problems. We study the asymptotic behavior as ε → 0 for the solution. Strong convergence in some Sobolev spaces is proved and the rate of convergence in cylindrical domains is given.

Singular Perturbations of Some Nonlinear Problems

In this paper we deal with singular perturbations of nonlinear problems depending on a small parameter ε > 0. First we consider the abstract theory of singular perturbations of variational inequalities involving some nonlinear operators, defined in Banach spaces, and describe the asymptotic behaviour of these solutions when ε → 0. Then these abstract results are applied to some boundary value p...

On the Asymptotic Behavior of Variational Inequalities Set in Cylinders

We study the asymptotic behavior of solutions to variational inequalities with pointwise constraint on the value and gradient of the functions as the domain becomes unbounded. First, as a model problem, we consider the case when the constraint is only on the value of the functions. Then we consider the more general case of constraint also on the gradient. At the end we consider the case when th...

Existence and Asymptotic Stability of Solutions for Hyperbolic Differential Inclusions with a Source Term

Asymptotic Behavior of Solution for p-Laplacian Type Wave Equation