Calculus of Variations and Geometric Measure Theory

D. Bucur - P. Trebeschi

Shape Optimization Problems Governed by Nonlinear State Equations

created on 15 Mar 1998


Inserted: 15 mar 1998

Year: 1998


The purpose of this paper is to give a compactness-continuity result for the solution of a non linear Dirichlet problem in terms of its domain variation. The topology in the family of domains is given by the Hausdorff metric and continuity is obtained under capacity conditions. A generalization of Sverak's result in N dimensions is deduced as a particular case.