Extremal functions for Morrey's inequality in convex domains

DOI10.1007/s00208-018-1775-8zbMath1435.35160arXiv1609.08186OpenAlexW2964292172WikidataQ128989123 ScholiaQ128989123MaRDI QIDQ2332942

Ryan Hynd, Erik Lindgren

Publication date: 5 November 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08186

zbMATH Keywords

convexityextremal functionselliptic equationsMorrey's inequality

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (7)

Uniqueness of extremals for some sharp Poincaré-Sobolev constants ⋮ An optimal pointwise Morrey-Sobolev inequality ⋮ Continuum limit of Lipschitz learning on graphs ⋮ On the behavior of least energy solutions of a fractional ( p , q ( p ) )-Laplacian problem as p goes to infinity ⋮ Asymptotic behaviour asp→ ∞ of least energy solutions of a (p, q(p))-Laplacian problem ⋮ On the monotonicity of the best constant of Morrey’s inequality in convex domains ⋮ Minimization of quotients with variable exponents

Cites Work

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