An Endpoint Alexandrov Bakelman Pucci Estimate in the Plane

DOI10.4153/CMB-2018-037-7zbMath1428.35062arXiv1804.09318MaRDI QIDQ5242572

Stefan Steinerberger

Publication date: 12 November 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09318

zbMATH Keywords

Trudinger-Moser inequalitysecond order Sobolev inequality

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Maximum principles in context of PDEs (35B50) Length, area, volume, other geometric measure theory (28A75) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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On sublevel set estimates and the Laplacian, The Hermite-Hadamard inequality in higher dimensions

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