TITLE

Optimization problems for weighted Sobolev constants

AUTHOR(S)
Bandle, Catherine; Wagner, Alfred
PUB. DATE
August 2007
SOURCE
Calculus of Variations & Partial Differential Equations;Aug2007, Vol. 29 Issue 4, p481
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, we study a variational problem under a constraint on the mass. Using a penalty method we prove the existence of an optimal shape. It will be shown that the minimizers are H�lder continuous and that for a large class they are even Lipschitz continuous. Necessary conditions in form of a variational inequality in the interior of the optimal domain and a condition on the free boundary are derived.
ACCESSION #
25137943

 

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