Submitted Paper
Inserted: 26 jul 2004
Journal: JOTA
Pages: 15
Year: 2004
Abstract:
We study an optimization problem for an elliptic PDE where the unknown is a measure. The state equation is a relaxed form of the classical Dirichlet problem and the functional to minimize is nonlinear. We prove a regularity result for the optimal measure, give a description of it and present some numerical examples.
Keywords: Gamma-convergence, shape optimization, measure theory
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