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/