This article is cited in 2 papers

Boundary Problems for a Elliptical Second Order Equations

V. I. Korzyuk^a, E. S. Cheb<sup>b

a</sup> Institute of Mathematics of the National Academy of Sciences of Belarus
^b Belarusian State University

Abstract: We consider boundary problems for linear elliptic second order equations using the method of energy inequalities and mollifiers with variable step. In particular, here are considered problems with boundary conditions along tangents of directions. The boundary of domain on which conditions are set, can be piecewise smooth. The theorems of existence of generalized solutions of considered problems are proved.

UDC: 517.956.32

Received: 22.05.2007