Decay of extremals of Morrey's inequality

Ryan Hynd, Simon Larson, Erik Lindgren

We study the decay (at infinity) of extremals of Morrey's inequality in ${\mathbb{R}}^n$. These are functions satisfying $$ \displaystyle \sup_{x\neq y}\frac{|u(x)-u(y)|}{|x-y|^{1-\f…