Extremal functions for Morrey's inequality

2018/10/10 by Hynd, Ryan, Seuffert, Francis · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.04393

Abstract

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 extremals and the observation that extremals are optimal for a related convex minimization problem.

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• Morrey--Sobolev inequalities with power weights on the half-space

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