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math.DG2024
Liouville Theorems on pseudohermitian manifolds with nonnegative Tanaka-Webster curvature
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni +1
In this paper we study positive solutions to the CR Yamabe equation in noncompact -dimensional Sasakian manifolds with nonnegative curvature. In particular, we show that th…
math.AP2024
Brezis-Nirenberg-type results for the anisotropic -Laplacian
Stefano Biagi, Francesco Esposito, Alberto Roncoroni +1
In this paper we consider a quasilinear elliptic and critical problem with Dirichlet boundary conditions in presence of the anisotropic -Laplacian. The critical exponent is the…
math.DG2024
A closure result for globally hyperbolic spacetimes
Giovanni Catino, Alberto Roncoroni
In this paper we prove a closure result for globally hyperbolic spacetimes satisfying, at a certain time, natural assumptions on the deceleration, the pressure and the Hubble const…