Abstract
The solvability of the first boundary value problem is studied for a second order elliptic system with degeneration on the entire boundary of a multidimensional domain.
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On the Dirichlet Problem for a Second Order Elliptic System with Degeneration on the Whole Boundary of a Multidimensional Domain
Mikheil Usanetashvili1
1Department of Mathematics (99), Georgian Technical University, 77, M. Kostava St., Tbilisi 0175, Georgia
Citation Information: Georgian Mathematical Journal. Volume 15, Issue 4, Pages 793–798, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2008.793, March 2010
Publication History:
- Received:
- 2007-10-31
- Published Online:
- 2010-03-11
Key words and phrases:: Degenerating elliptic system; Dirichlet problem; extremum principle; barrier function
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