An optimization problem with volume constrain for a degenerate quasilinear operator

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dc.creatorBonder, Julian Fernandez
dc.creatorMartinez, Sandra
dc.creatorWolanski, Noemi
dc.date2006-02-17
dc.date.accessioned2026-07-07T07:03:33Z
dc.date.available2026-07-07T07:03:33Z
dc.descriptionWe consider the optimization problem of minimizing $\int_Ω|\nabla u|^p dx$ with a constrain on the volume of $\{u>0\}$. We consider a penalization problem, and we prove that for small values of the penalization parameter, the constrained volume is attained. In this way we prove that every solution $u$ is locally Lipschitz continuous and that the free boundary, $\partial\{u>0\}\cap Ω$, is smooth.
dc.identifierhttps://arxiv.org/abs/math/0602389
dc.identifierhttp://arxiv.org/abs/math/0602389
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109015
dc.subjectAnalysis of PDEs
dc.subject35J20, 35P30, 49K20
dc.titleAn optimization problem with volume constrain for a degenerate quasilinear operator
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