Narrow domains and the harnack inequality for elliptic equations

M. V. Safonov

doi:10.1090/spmj/1401

Narrow domains and the harnack inequality for elliptic equations

M. V. Safonov

Mathematics

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

1 Scopus citations

Abstract

We present a direct proof of Moser's Harnack inequality that does not involve iterations. The method is based on a recursive estimate for solutions in domains of small measure. Such estimates can also be useful for other applications.

Original language	English (US)
Pages (from-to)	509-522
Number of pages	14
Journal	St. Petersburg Mathematical Journal
Volume	27
Issue number	3
DOIs	https://doi.org/10.1090/spmj/1401
State	Published - 2016

Bibliographical note

Publisher Copyright:
© 2016 American Mathematical Society.

Keywords

Harnack inequality
Measurable coefficients
Second-order elliptic equations

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Narrow domains and the harnack inequality for elliptic equations

Abstract

Bibliographical note

Keywords

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