6 citations · 6 across the 2 of their papers we have counts for
7 papers
Rigidity for the Pólya-Szegö inequality under circular rearrangement
F. Cagnetti, G. Domazakis, M. Perugini +1
A Pólya-Szegö inequality for the circular rearrangement is proven, under general assumptions. In addition, sufficient conditions are given, under which all the extremals of the ine…
Extremals in nonlinear potential theory
Ryan Hynd, Francis Seuffert
We consider the PDE , where is a signed Borel measure on . For each , we characterize solutions as extremals of a generalized Morrey inequality dete…
On the symmetry and monotonicity of Morrey extremals
Ryan Hynd, Francis Seuffert
We employ Clarkson's inequality to deduce that each extremal of Morrey's inequality is axially symmetric and is antisymmetric with respect to reflection about a plane orthogonal to…
Asymptotic flatness of Morrey extremals
Ryan Hynd, Francis Seuffert
We study the limiting behavior as of extremal functions for Morrey's inequality on . In particular, we compute the limit of as $|x|…
Extremal functions for Morrey's inequality
Ryan Hynd, Francis Seuffert
We give a qualitative description of extremals for Morrey's inequality. Our theory is based on exploiting the invariances of this inequality, studying the equation satisfied by ext…
A Stability Result for a Family of Sharp Gagliardo-Nirenberg Inequalities
Francis Seuffert
In a recent paper, E. Carlen and A. Figalli prove a stability estimate - also known as a quantitative inequality - for a sharp Gagliardo-Nirenberg inequality and use this result to…
An Extension of the Bianchi-Egnell Stability Estimate to Bakry, Gentil, and Ledoux's Generalization of the Sobolev Inequality to Continuous Dimensions
Francis Seuffert
This paper extends a stability estimate of the Sobolev Inequality established by G. Bianchi and H. Egnell in their paper "A note on the Sobolev Inequality." Bianchi and Egnell's St…