Decay of extremals of Morrey’s inequality

Artikel i vetenskaplig tidskrift, 2024

We study the decay (at infinity) of extremals of Morrey’s inequality in Rn. These are functions satisfying (Formula Presented) where p>n and C(p, n) is the optimal constant in Morrey’s inequality. We prove that if n≥2 then any extremal has a power decay of order β for any (Formula Presented).