Article Contents
Article Contents

# 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 $\varepsilon \rightarrow 0$ for the solution. Strong convergence in some Sobolev spaces is proved and the rate of convergence in cylindrical domains is given.
Mathematics Subject Classification: Primary: 35B25, 35B40; Secondary: 35J25.

 Citation: