The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains
Dorina Mitrea, Marius Mitrea, Sylvie Monniaux · Communications on Pure & Applied Analysis · 2008
We formulate and solve the Poisson problem for the exterior derivative operator with Dirichlet boundary condition in Lipschitz domains, of arbitrary topology, for data in Besov and Triebel-Lizorkin spaces.