We make a further advance concerning the maximum principle for second-order elliptic operators. We investigate in particular a geometric condition, firstly considered by Berestycki–Nirenberg–Varadhan, that seems to be natural in view of the application of the boundary weak Harnack inequality, on which our argument is based. Setting it free from some technical assumptions, apparently needed in earlier papers, we significantly enlarge the class of unbounded domains where the maximum principle holds, compatibly with the first-order term.
|Titolo:||A Note on the Maximum Principle for Complete Second-Order Elliptic Operators in General Domains|
|Autori interni:||VITOLO, Antonio|
|Data di pubblicazione:||2007|
|Rivista:||ACTA MATHEMATICA SINICA|
|Appare nelle tipologie:||1.1.2 Articolo su rivista con ISSN|