@article{c696aa7dc57540f1aaa8ee4ecec0d5c4,
title = "Relative energy gap for harmonic maps of riemann surfaces into real analytic riemannian manifolds",
abstract = "We extend the well-known Sacks-Uhlenbeck energy gap result for harmonic maps from closed Riemann surfaces into closed Riemannian manifolds from the case of maps with small energy (thus near a constant map), to the case of harmonic maps with high absolute energy but small energy relative to a reference harmonic map.",
keywords = "Harmonic maps, {\L}ojasiewicz-Simon gradient inequality",
author = "Feehan, {Paul M.N.}",
note = "Funding Information: Received by the editors September 12, 2017. 2010 Mathematics Subject Classification. Primary 58E20; Secondary 37D15. Key words and phrases. Harmonic maps, Lojasiewicz–Simon gradient inequality. The author was partially supported by National Science Foundation grant DMS-1510064 and the Oswald Veblen Fund and Fund for Mathematics (Institute for Advanced Study, Princeton) during the preparation of this article. Publisher Copyright: {\textcopyright} 2018 American Mathematical Society.",
year = "2018",
month = jul,
doi = "10.1090/proc/14013",
language = "English (US)",
volume = "146",
pages = "3179--3190",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "7",
}