On the Γ-convergence of Laplace–beltrami Operators in the Plane

  • Maria Rosaria Formica

Abstract

We show here that if fh is a sequence of mappings of finite distortion Kh , uniformly bounded in some exponential norm, weakly converging to f in W (Ω) , Ω ⊂ R , then the matrices A(x, fh) in the Beltrami operators associated to each fh , Γ -converge, in the sense of De Giorgi, to the matrix A(x, f) in the Beltrami operator associated to f .

Cite this paper

@inproceedings{FormicaOnT, title={On the Γ-convergence of Laplace–beltrami Operators in the Plane}, author={Maria Rosaria Formica} }