Decay of extremals of Morrey’s inequality
Journal article, 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).
decay at infinity
the p-Laplace equation
Morrey’s inequality
Author
Ryan Hynd
University of Pennsylvania
Simon Larson
Chalmers, Mathematical Sciences, Algebra and geometry
Erik Lindgren
Royal Institute of Technology (KTH)
Arkiv for Matematik
0004-2080 (ISSN) 18712487 (eISSN)
Vol. 62 1 73-81Subject Categories
Mathematical Analysis
DOI
10.4310/ARKIV.2024.v62.n1.a4