Narrow Domains and the Harnack Inequality for Elliptic Equations
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- by M. V. Safonov
- St. Petersburg Math. J. 27 (2016), 509-522
- DOI: https://doi.org/10.1090/spmj/1401
- Published electronically: March 30, 2016
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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.References
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Bibliographic Information
- M. V. Safonov
- Affiliation: School of Mathematics, University of Minnesota
- Email: safonov@math.umn.edu
- Received by editor(s): February 19, 2015
- Published electronically: March 30, 2016
- © Copyright 2016 American Mathematical Society
- Journal: St. Petersburg Math. J. 27 (2016), 509-522
- MSC (2010): Primary 35J15; Secondary 35B45, 35B65
- DOI: https://doi.org/10.1090/spmj/1401
- MathSciNet review: 3570964
Dedicated: Dedicated to Nina N. Ural’tseva