Oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point

We investigate the behavior of strong solutions to oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point. We obtain estimates for the local and global solutions and find the best exponents of the continu...

Full description

Bibliographic Details
Main Author: Mariusz Bodzioch
Format: Article
Language:English
Published: Texas State University 2012-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/228/abstr.html
Description
Summary:We investigate the behavior of strong solutions to oblique derivative problems for degenerate linear second-order elliptic equations in a 3-dimensional bounded domain with a boundary conical point. We obtain estimates for the local and global solutions and find the best exponents of the continuity at the conical boundary point.
ISSN:1072-6691