141 citations · 696 across the 45 of their papers we have counts for
3 papers · 1 filter
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…
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…
Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders
Jean Dolbeault, Maria J. Esteban, Michael Loss
This note is devoted to Keller-Lieb-Thirring spectral estimates for Schrödinger operators on infinite cylinders: the absolute value of the ground state level is bounded by a functi…