The Sphere Covering Inequality and Its Dual

Changfeng Gui; Fengbo Hang; Amir Moradifam

doi:10.1002/cpa.21903

The Sphere Covering Inequality and Its Dual

Changfeng Gui, Fengbo Hang, Amir Moradifam

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We present a new proof of the sphere covering inequality in the spirit of comparison geometry, and as a by-product we find another sphere covering inequality that can be viewed as the dual of the original one. We also prove sphere covering inequalities on surfaces satisfying general isoperimetric inequalities, and discuss their applications to elliptic equations with exponential nonlinearities in dimension 2. The approach in this paper extends, improves, and unifies several inequalities about solutions of elliptic equations with exponential nonlinearities.

Original language	English (US)
Pages (from-to)	2685-2707
Number of pages	23
Journal	Communications on Pure and Applied Mathematics
Volume	73
Issue number	12
DOIs	https://doi.org/10.1002/cpa.21903
State	Published - Dec 1 2020

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.21903

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The Sphere Covering Inequality and Its Dual

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