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Singularities of positive supersolutions in elliptic PDEs

Authors:	Louis?Dupaigne Augusto?C?Ponce augponce@mathrutgersedu" title="ponce@annjussieufr Email author" target="_blank">augponce@mathrutgersedu" itemprop="email" data-track="click" data-track-action="Email author" data-track-label="">Email author

Institution:	(1) Laboratoire Amiénois de Mathématique, Fondamentale et Appliquée, Faculté de Mathématiques et dInformatique, Université Picardie Jules Verne, 33, rue Saint-Leu, 80039 Amiens Cedex 1, France;(2) Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte courier 187, 75252 Paris Cedex 05, France;(3) Department of Mathematics, Rutgers University, Hill Center, Busch Campus, 110 Frelinghuysen Rd., Piscataway, NJ 08854, USA

Abstract:	We present several extensions of the Brezis–Lions Lemma on removable singularities. We also give a positive answer to a question raised by H. Brezis and M. Marcus about an inverse maximum principle for the Laplacian.

Keywords:	35J15 (35B50)
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