138 citations · 208 across the 12 of their papers we have counts for
3 papers · 1 filter
Infinite-horizon problems under periodicity constraint
Joel Blot, Abdelkader Bouadi, Bruno Nazaret
We study so{ù}e infinite-horizon optimization problems on spaces of periodic functions for non periodic Lagrangians. The main strategy relies on the reduction to finite horizon tha…
Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
Matteo Bonforte, Jean Dolbeault, Matteo Muratori +1
In this paper we consider a family of Caffarelli-Kohn-Nirenberg interpolation inequalities (CKN), with two radial power law weights and exponents in a subcritical range. We address…
Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods
Matteo Bonforte, Jean Dolbeault, Matteo Muratori +1
This paper is the second part of the study. In Part~I, self-similar solutions of a weighted fast diffusion equation (WFD) were related to optimal functions in a family of subcritic…