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math.AP2023
Notes on Overdetermined Singular Problems
Francesco Esposito, Berardino Sciunzi, Nicola Soave
We obtain some rigidity results for overdetermined boundary value problems for singular solutions in bounded domains.
math.AP2023
A fractional Hopf Lemma for sign-changing solutions
Serena Dipierro, Nicola Soave, Enrico Valdinoci
In this paper we prove some results on the boundary behavior of solutions to fractional elliptic problems. Firstly, we establish a Hopf Lemma for solutions to some integro-differen…
math.AP2023
The Lane-Emden system on Cartan-Hadamard manifolds: asymptotics and rigidity of radial solutions
Matteo Muratori, Nicola Soave
We investigate existence and qualitative properties of globally defined and positive radial solutions of the Lane-Emden system, posed on a Cartan-Hadamard model manifold $ \mathbb{…