Extremal functions for Morrey's inequality

DOI10.1007/s00205-021-01668-xzbMath1478.46035arXiv1810.04393OpenAlexW3167658427MaRDI QIDQ2036645

Francis Seuffert, Ryan Hynd

Publication date: 30 June 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.04393

zbMATH Keywords

Morrey's inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (2)

The Riemannian quantitative isoperimetric inequality ⋮ A note on strong-form stability for the Sobolev inequality

Cites Work

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• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• The perimeter inequality under Steiner symmetrization: cases of equality
• The sharp Sobolev inequality in quantitative form
• The quantitative isoperimetric inequality and related topics
• Extremals of functionals with competing symmetries
• Multiple integrals in the calculus of variations
• Functional analysis, Sobolev spaces and partial differential equations
• Affine Moser-Trudinger and Morrey-Sobolev inequalities
• Singular solutions of the \(p\)-Laplace equation
• Singular solutions of the p-Laplace equation
• A note on the Sobolev inequality
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Capacitary functions in convex rings
• A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.
• Über den funktionalen, insbesondere den analytischen Charakter der Lösungen elliptischer Differentialgleichungen zweiter Ordnung
• Elliptic partial differential equations of second order
• Gradient stability for the Sobolev inequality: the case \(p\geq 2\)
• A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
• The sharp quantitative isoperimetric inequality
• Sharp Morrey-Sobolev inequalities and the distance from extremals
• Some methods for studying stability in isoperimetric type problems
• The Yamabe problem
• A First Course in Sobolev Spaces
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations

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