Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points

In this article, we study elliptic boundary-value problems, depending on a real parameter, in domains with conical points. We present asymptotic formulas for solutions near singular points, as linear combinations of special singular functions and regular functions. These functions and the coeff...

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Bibliographic Details
Main Authors: Nguyen Manh Hung, Nguyen Thanh Anh
Format: Article
Language:English
Published: Texas State University 2009-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/125/abstr.html
Description
Summary:In this article, we study elliptic boundary-value problems, depending on a real parameter, in domains with conical points. We present asymptotic formulas for solutions near singular points, as linear combinations of special singular functions and regular functions. These functions and the coefficients of the linear combination are regular with respect to the parameter.
ISSN:1072-6691