Calculus of Variations and Geometric Measure Theory
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L. De Pascale

On a constrained shape optimization problem

created on 20 Jun 2002
modified by depascal on 22 Jun 2005


Published Paper

Inserted: 20 jun 2002
Last Updated: 22 jun 2005

Journal: Communications in Applied Analysis
Volume: 7
Number: 4
Pages: 485-498
Year: 2003


We study a classical scalar shape optimization problem adding the constraint that the design region is a manifold in $\R^n$. We prove an existence result for weak solutions using a connection with the Monge's optimal transport problem. The results applies to constrained and obstacle problems.


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