Mariusz Bodzioch, Mikhail Borsuk
Abstract:
This article concerns the oblique boundary value problem for elliptic
semi-linear equations in a domain with a conical point on the boundary.
We investigate the asymptotic behavior of strong solutions near a boundary
conical point. New regularity theorems are established under the
least possible assumptions on the equation coefficients.
The investigation of asymptotic properties of solutions can be used to
obtain new solvability theorems. The results obtained in this paper
are extensions of our previous results to a wider class of elliptic equations.
Submitted March 2, 2018. Published March 14, 2018.
Math Subject Classifications: 35J20, 35J25, 35J61.
Key Words: Elliptic equations; oblique problem; conical points.
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Mariusz Bodzioch Faculty of Mathematics and Computer Science University of Warmia and Mazury in Olsztyn Sloneczna 54, 10-710 Olsztyn, Poland email: mariusz.bodzioch@matman.uwm.edu.pl |
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Mikhail Borsuk Faculty of Mathematics and Computer Science University of Warmia and Mazury in Olsztyn Sloneczna 54, 10-710 Olsztyn, Poland email: borsuk@uwm.edu.pl |
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