Best possible estimates of solutions to the transmission problem for the Laplace operator with $N$ different media in a conical domain
Volume 34 / 2007
Applicationes Mathematicae 34 (2007), 445-491
MSC: 35J25, 35J60, 35J85, 35B65.
DOI: 10.4064/am34-4-7
Abstract
We investigate the behavior of weak solutions to the transmission problem for the Laplace operator with $N$ different media in a neighborhood of a boundary conical point. We establish a precise exponent of the decreasing rate of the solution.
