Displaying similar documents to “Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition”

L²-data Dirichlet problem for weighted form Laplacians

Wojciech Kozłowski (2008)

Colloquium Mathematicae

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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.

Preduals of Sobolev-Campanato spaces

Konrad Gröger, Lutz Recke (2001)

Mathematica Bohemica

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We present definitions of Banach spaces predual to Campanato spaces and Sobolev-Campanato spaces, respectively, and we announce some results on embeddings and isomorphisms between these spaces. Detailed proofs will appear in our paper in Math. Nachr.