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math.AP2017
Obstacle problems and free boundaries: an overview
Xavier Ros-Oton
Free boundary problems are those described by PDEs that exhibit a priori unknown (free) interfaces or boundaries. These problems appear in Physics, Probability, Biology, Finance, o…
math.AP2017
Boundary regularity, Pohozaev identities, and nonexistence results
Xavier Ros-Oton
In this expository paper we survey some recent results on Dirichlet problems of the form in , in . We first discuss in detail the…