Seminário de Análise e Equações Diferenciais

Variational problems with measure constraints

Eduardo Teixeira (Universidade Federal do Ceará)

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20/06/2012

Variational problems with measure constraints: existence, geometric and smoothness properties of minimizes

Abstract:

Optimization problems involving volume or area constraints appear often in mathematical models. In general the classical methods from the Calculus of Variations are not suitable or powerful enough to treat such problems. Instead, their analysis rely on fine techniques from geometric measure and free boundary theories. In this talk I will present some recent advances on variational problems with volume constraints governed by a rather general family of degenerate elliptic PDE’s. I will address questions regarding existence and asymptotic behavior of optimal designs as well as the regularity theory for the free boundary. If time permits, we will also discuss minimization problems with area constraints modeled in Riemannian manifolds.

Organização

Centro de Matemática e Aplicações Fundamentais da Universidade de Lisboa

Localização

Instituto para a Investigação Interdisciplinar da UL, Sala B3-01

Horário

13h30m

Matemática