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math.AP2017
One-dimensional symmetry for the solutions of a three-dimensional water wave problem
Eleonora Cinti, Pietro Miraglio, Enrico Valdinoci
We prove a one-dimensional symmetry result for a weighted Dirichlet-to-Neumann problem arising in a model for water waves in dimension 3. More precisely we prove that minimizers an…
math.AP2017★ 4 cited
Stable -minimal cones in are flat for
Xavier Cabre, Eleonora Cinti, Joaquim Serra
We prove that half spaces are the only stable nonlocal -minimal cones in , for sufficiently close to . This is the first classification result of st…