Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains

We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded. For nondivergence elliptic equations in domains satisfying an exterior cone condition, similar results were obtained by J....

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Bibliographic Details
Main Authors: Sungwon Cho, Mikhail Safonov
Format: Article
Language:English
Published: SpringerOpen 2006-12-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2007/57928