4 papers · 1 filter
Quasilinear Liouville equation on manifolds with nonnegative Ricci curvature
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni
We prove rigidity and classification results for the quasilinear Liouville equation associated with the -Laplacian on complete noncompact Riemannian manifolds with nonnegative R…
Rigidity for the heat equation with density on Riemannian manifolds through a conformal change
Alexander Grigor'yan, Giulia Meglioli, Alberto Roncoroni
We investigate uniqueness of solution to the heat equation with a density on complete, non-compact weighted Riemannian manifolds of infinite volume. Our main goal is to identi…
Rigidity of solutions to singular/degenerate semilinear critical equations
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni
This paper deals with singular/degenerate semilinear critical equations which arise as the Euler-Lagrange equation of Caffarelli-Kohn-Nirenberg inequalities in , with…
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…