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math.AP2019
Serrin's type problems in warped product manifolds
Alberto Farina, Alberto Roncoroni
In this paper we consider Serrin's overdetermined problems in warped product manifolds and we prove Serrin's type rigidity results by using the P-function approach introduced by We…
math.AP2019
Symmetry results for critical anisotropic -Laplacian equations in convex cones
Giulio Ciraolo, Alessio Figalli, Alberto Roncoroni
Given and , we consider the critical -Laplacian equation , which corresponds to critical points of the Sobolev inequality. Exploiting the…