Can I read Interpolation Inequalities on the Sphere and Phase Transition: Rigidity, Symmetry and Symmetry Breaking on EtoBox?

Interpolation Inequalities on the Sphere and Phase Transition: Rigidity, Symmetry and Symmetry Breaking by Dagher, Esther Bou; Dolbeault, Jean is a scholarly article available to read on EtoBox.

What is Interpolation Inequalities on the Sphere and Phase Transition: Rigidity, Symmetry and Symmetry Breaking about?

This paper is devoted to the study of phase transitions associated to a large family of Gagliardo-Nirenberg-Sobolev interpolation inequalities on the sphere depending on one parameter. We characterize symmetry and symmetry breaking regimes, with a phase transition that can be of first or second order. We establish various new results and study the qualitative properties of the branches of solutions to the Euler-Lagrange equations.

Author

Dagher, Esther Bou; Dolbeault, Jean

Published

2022

Language

EN