The Dirichlet Problem on the Upper Half‐Space

Abstract

A solution of the Dirichlet problem on the upper half-space is constructed by the generalized Dirichlet integral with a fast-growing continuous boundary function.

The Modification of Kernel Function and Its Applications

“…To obtain the Neumann solution for the boundary data on , as in [2,3], we use the following modified Riesz kernel defined by…”