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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am34-4-7, author = {Mikhail Borsuk}, title = {Best possible estimates of solutions to the transmission problem for the Laplace operator with N different media in a conical domain}, journal = {Applicationes Mathematicae}, volume = {34}, year = {2007}, pages = {445-491}, zbl = {1148.35018}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-4-7} }
Mikhail Borsuk. Best possible estimates of solutions to the transmission problem for the Laplace operator with N different media in a conical domain. Applicationes Mathematicae, Tome 34 (2007) pp. 445-491. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-4-7/