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math.AP2020
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data
Miguel Domínguez-Vázquez, Alberto Enciso, Daniel Peralta-Salas
In this paper we consider the overdetermined boundary problem for a general second order semilinear elliptic equation on bounded domains of , where one prescribes bot…
math.AP2020
Non-existence of axisymmetric optimal domains with smooth boundary for the first curl eigenvalue
Alberto Enciso, Daniel Peralta-Salas
We say that a bounded domain is optimal for the first positive curl eigenvalue if for any domain with the same volume. In spite of the fact t…
math.AP2020★ 16 cited
Piecewise smooth stationary Euler flows with compact support via overdetermined boundary problems
Miguel Domínguez-Vázquez, Alberto Enciso, Daniel Peralta-Salas
We construct new stationary weak solutions of the 3D Euler equation with compact support. The solutions, which are piecewise smooth and discontinuous across a surface, are axisymme…