TITLE

Lipschitz continuity of state functions in some optimal shaping

AUTHOR(S)
Brian�on, Tanguy; Hayouni, Mohammed; Pierre, Michel
PUB. DATE
May 2005
SOURCE
Calculus of Variations & Partial Differential Equations;May2005, Vol. 23 Issue 1, p13
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We prove local Lipschitz continuity of the solution to the state equation in two kinds of shape optimization problems with constraint on the volume: the minimal shaping for the Dirichlet energy, with no sign condition on the state function, and the minimal shaping for the first eigenvalue of the Laplacian. This is a main first step for proving regularity of the optimal shapes themselves.
ACCESSION #
16902942

 

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