Sobolev spaces of maps and the Dirichlet problem for harmonic maps
نویسندگان
چکیده
منابع مشابه
Boundary Regularity and the Dirichlet Problem for Harmonic Maps
In a previous paper [10] we developed an interior regularity theory for energy minimizing harmonic maps into Riemannian manifolds. In the first two sections of this paper we prove boundary regularity for energy minimizing maps with prescribed Dirichlet boundary condition. We show that such maps are regular in a full neighborhood of the boundary, assuming appropriate regularity on the manifolds,...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2019
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199717500912