141 citations · 781 across the 77 of their papers we have counts for
4 papers · 2 filters
Interpolation inequalities on the sphere: linear vs. nonlinear flows
Jean Dolbeault, Maria J. Esteban, Michael Loss
This paper is devoted to sharp interpolation inequalities on the sphere and their proof using flows. The method explains some rigidity results and proves uniqueness in related semi…
Weighted interpolation inequalities: a perturbation approach
Jean Dolbeault, Matteo Muratori, Bruno Nazaret
We study optimal functions in a family of Caffarelli-Kohn-Nirenberg inequalities with a power-law weight, in a regime for which standard symmetrization techniques fail. We establis…
Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces
Jean Dolbeault, Maria J. Esteban, Michael Loss
This paper is motivated by the characterization of the optimal symmetry breaking region in Caffarelli-Kohn-Nirenberg inequalities. As a consequence, optimal functions and sharp con…
Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays
Jean Dolbeault, Giuseppe Toscani
In this paper, we consider functionals based on moments and non-linear entropies which have a linear growth in time in case of source-type so-lutions to the fast diffusion or porou…