Mariusz Bodzioch
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.
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Mariusz Bodzioch Department of Mathematics and Informatics University of Warmia and Mazury in Olsztyn 10-710 Olsztyn, Poland email: mariusz.bodzioch@matman.uwm.edu.pl |
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