Dirichlet problem with L^p-boundary data for real sub-Laplacians
Abstract
Let L be a real sub-Laplacian on a stratified Lie group G. In this note we present some results on the Dirichlet problem for L with L^p-boundary data, on domains which are contractible with respect to the natural dilations of G. One of the main difficulties we overcome is the presence of non-regular boundary points for the usual Dirichlet problem for L. A potential theoretical approach is followed.The authors retain all rights to the original work without any restrictions.
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