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A Liouville theorem in the Heisenberg group
Giovanni Catino, Yanyan Li, Dario D. Monticelli +1
In this paper we classify positive solutions to the critical semilinear elliptic equation in . We prove that they are the Jerison-Lee's bubbles, provided or $n\…
Optimal quantitative stability for a Serrin-type problem in convex cones
Filomena Pacella, Giorgio Poggesi, Alberto Roncoroni
We consider a Serrin-type problem in convex cones in the Euclidean space and motivated by recent rigidity results we study the quantitative stability issue for this problem. In par…
Non-existence of patterns for a class of weighted degenerate operators
Giulio Ciraolo, Rosario Corso, Alberto Roncoroni
A classical result by Casten-Holland and Matano asserts that constants are the only positive and stable solutions to semilinear elliptic PDEs subject to homogeneous Neumann boundar…