Oblique derivative problem for elliptic second-order semi-linear equations in a domain with a conical boundary point
Date
2018-03-14
Authors
Bodzioch, Mariusz
Borsuk, Mikhail
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Elliptic equations, Oblique problem, Conical points
Citation
Bodzioch, M., & Borsuk, M. (2018). Oblique derivative problem for elliptic second-order semi-linear equations in a domain with a conical boundary point. <i>Electronic Journal of Differential Equations, 2018</i>(69), pp. 1-20.