L2-data Dirichlet problem for weighted form Laplacians
Wojciech Kozłowski · Colloquium Mathematicum · 2008
We solve the L 2 -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.the author solved the so called elliptic boundary problems in the sense of Gilkey and Smith for the operator L in the Euclidean ball for polynomial p-forms.In the present paper we adopt Reimann's method and solve the L 2 -data Dirichlet problem for the operator L a,b in the Euclidean unit ball and for 2000