We solve the L²-data Dirichlet boundary problem for a weighted form Laplacian in the unit Euclidean ball. The solution is given explicitly as a sum of four series.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm112-1-4,
author = {Wojciech Koz\l owski},
title = {L$^2$-data Dirichlet problem for weighted form Laplacians},
journal = {Colloquium Mathematicae},
volume = {111},
year = {2008},
pages = {73-88},
zbl = {1133.35041},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm112-1-4}
}
Wojciech Kozłowski. L²-data Dirichlet problem for weighted form Laplacians. Colloquium Mathematicae, Tome 111 (2008) pp. 73-88. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm112-1-4/