An optimization problem with volume constraint for a degenerate quasilinear operator

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We consider the optimization problem of minimizing ∫Ω | ∇ u |p d x with a constraint 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...

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Detalles Bibliográficos
Autores principales: Fernández Bonder, J., Martínez, S., Wolanski, N.
Formato: JOUR
Materias:
Free boundaries
Optimal design problems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00220396_v227_n1_p80_FernandezBonder
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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