Sandra Martı́nez

collaborators

2 papers

math.AP2006★ 3 cited

An optimization problem with volume constrain for a degenerate quasilinear operator

Julian Fernandez Bonder, Sandra Martinez, Noemi Wolanski

We consider the optimization problem of minimizing $\int_{Ω} ∣\nabla u ∣^{p} d x$ with a constrain on the volume of ${u > 0}$ . We consider a penalization problem, and we prove that for sm…

math.AP2006★ 1 cited

A minimum problem with free boundary in Orlicz spaces

Sandra Martinez, Noemi Wolanski

We consider the optimization problem of minimizing $\int_{Ω} G (∣\nabla u ∣) + λ χ_{{u > 0}} d x$ in the class of functions $W^{1, G} (Ω)$ with $u - ϕ_{0} \in W_{0}^{1, G} (Ω)$ , for a given $ϕ_0\geq 0…