activity
20162025
most citedNonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds

1 citations · 1 across the 8 of their papers we have counts for

collaborators
Showing 2016Show all

2 papers · 1 filter

math.AP2016

Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities

Jean Dolbeault, Maria J. Esteban, Michael Loss +1

We use the formalism of the R{é}nyi entropies to establish the symmetry range of extremal functions in a family of subcriti-cal Caffarelli-Kohn-Nirenberg inequalities. By extremal…

math.AP2016

The porous medium equation on Riemannian manifolds with negative curvature. The large-time behaviour

Gabriele Grillo, Matteo Muratori, Juan Luis Vázquez

We consider nonnegative solutions of the porous medium equation (PME) on a Cartan-Hadamard manifold whose negative curvature can be unbounded. We take compactly supported initial d…