Article ID Journal Published Year Pages File Type
4624203 Journal of Mathematical Analysis and Applications 2006 22 Pages PDF
Abstract

A priori estimates for elliptic linear Dirichlet problems are revisited and precisely determined. Such estimates are used for the analysis of Dirichlet problems with singular coefficients and data. Elliptic Dirichlet problems with singularities are reformulated in appropriate generalized function algebras and uniquely solved.

Related Topics
Physical Sciences and Engineering Mathematics Analysis