An Omori–Yau maximum principle for semi-elliptic operators and Liouville-type theorems

Autor:	Chanyoung Sung, Kyusik Hong
Rok vydání:	2013
Předmět:	Pure mathematics Subharmonic function Operator (physics) Mathematical analysis Function (mathematics) Riemannian manifold Elliptic operator Maximum principle Computational Theory and Mathematics Bounded function Maximum modulus principle Geometry and Topology Analysis Mathematics
Zdroj:	Differential Geometry and its Applications. 31:533-539
ISSN:	0926-2245
Popis:	We generalize the Omori–Yau almost maximum principle of the Laplace–Beltrami operator on a complete Riemannian manifold M to a second-order linear semi-elliptic operator L with bounded coefficients and no zeroth order term. Using this result, we prove some Liouville-type theorems for a real-valued C 2 function f on M satisfying L f ⩾ F ( f ) + H ( | ∇ f | ) for real-valued continuous functions F and H on R such that H ( 0 ) = 0 .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e67a3408c0435f72d40f0d8f36a232bd https://doi.org/10.1016/j.difgeo.2013.05.004 Zobrazit plný text záznamu Full Text from ScienceDirect