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math.AP2018
Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems
Giovanni Gravina, Giovanni Leoni
A mixed Dirichlet-Neumann problem is regularized with a family of singularly perturbed Neumann-Robin boundary problems, parametrized by . Using an asymptotic devel…
math.AP2018
On the existence of non-flat profiles for a Bernoulli free boundary problem
Giovanni Gravina, Giovanni Leoni
In this paper we consider a large class of Bernoulli-type free boundary problems with mixed periodic-Dirichlet boundary conditions. We show that solutions with non-flat profile can…