Recent Issues
Volume 39	1	2	3	4
Volume 38	1	2	3	4
Volume 37	1	2&3		4
Volume 36	1	2	3	4
Volume 35	1	2	3	4
Past Issues
The Journal
Cover
Aims and Scope
Subscription Information
Editorial Board
Instructions for Author
Contact Us
Related Links

Vietnam Journal of Mathematics 37:2&3 (2009) 255-272 

On Partially Elliptic and Coercive Boundary Problems

Tran Minh Binh, Duong Minh Duc, and Nguyen Duy Thanh

Abstract.  In this paper, the so called piecewise-Koszul complex is defined, which is a natural generalization of Koszul and higher Koszul complexes. We give a necessary and sufficient condition for a special class of graded algebras to be piecewise-Koszul in terms of piecewise-Koszul complex. Moreover, for a special piecewise-Koszul algebra, we give a description of the Yoneda-Ext algebra by using its dual algebra.

2000 Mathematics Subject Classification: Applying iteration method, we prove fixed point theorems for operators, which may neither be continuous nor monotone. Using these results and some considerations in sub-supersolution methods, we can partially relax the coercivity, ellipticity and compactness in some boundary problems.

Keywords: Monotone operators, Fixed point theorems, Boundary value problems.

Vietnam Academy of Science and Technology & Vietnamese Mathematical Society
© Copyright 2009 Vietnam Journal of Mathematics. All rights reserved.