Email this article On the Dirichlet-type problem for elliptic systems degenerate at a line
- Authors: Rutkauskas S.1
-
Affiliations:
- Institute of Mathematics and Informatics of Vilnius University
- Issue: Vol 100, No 1-2 (2016)
- Pages: 276-283
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149636
- DOI: https://doi.org/10.1134/S0001434616070221
- ID: 149636
Cite item
Open Access
Access granted
Subscription Access
Abstract
In this paper, the Dirichlet-type problem for the system of elliptic equations of second order with the degeneracy at a line crossing the domain is considered. The Dirichlet-type problem with additionally given asymptotics of the solution at this line is discussed. The uniqueness and the existence of the solution of this problem in the class of Hölder functions is proved.
About the authors
S. Rutkauskas
Institute of Mathematics and Informatics of Vilnius University
Author for correspondence.
Email: stasys.rutkauskas@mii.vu.lt
Lithuania, Vilnius
Supplementary files
