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.
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| Mariusz Bodzioch |
Department of Mathematics and Informatics
University of Warmia and Mazury in Olsztyn
10-710 Olsztyn, Poland
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