Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 125, pp. 1-21.

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

Authors: Nguyen Thanh Anh (Hanoi National Univ. of Education, Vietnam)
         Nguyen Manh Hung (Hanoi National Univ. of Education, Vietnam)

Abstract:
 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.
 
Submitted March 5, 2009. Published September 04, 2009.
Math Subject Classifications: 35J40, 35B40, 35P99, 47A55, 47A56.
Key Words: Elliptic boundary problem; nonsmooth domains;
           conical point; asymptotic behaviour.