Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 228, pp. 1-28.

Title: Oblique derivative problems for degenerate linear second-order 
       elliptic equations in a 3-dimensional bounded domain with a 
       boundary conical point
        
Author: Mariusz Bodzioch (Univ. of Warmia and Mazury, Olsztyn, Poland)

Abstract:
 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.

Submitted October 20, 2011. Published December 17, 2012.
Math Subject Classifications: 35J15, 35J25, 35J70, 35B10.
Key Words: Elliptic equations; oblique problem; conical points.