caa a22 4500 465820050 CHVBK 20180323112133.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01766977 doi (NATIONALLICENCE)springer-10.1007/BF01766977 Fuchs M. Mathematisches Institut der Universität Düsseldorf, Universitätsstr. 1, D-4000, Düsseldorf aut p -Harmonic obstacle problems [Elektronische Daten] Part III. — Boundary regularity [M. Fuchs] Summary: Let Ω denote a bounded domain in some Riemannian manifold X with smooth boundary δω and consider a submanifold Y of Euclidean space RL with or without boundary. We show that if U: Ω → Y minimizes the penergy functional $$E_p (U,\Omega ): = \int\limits_\Omega {\left\| {DU} \right\|^p dVol}$$ for smooth boundary data g: δω → Y, then U is continuous in a neighborhood of δω. This completes the interior partial regularity results of Part I. As an application we obtain an existence theorem concerning small solutions of the Dirichlet problem for pharmonic maps. Fondazione Annali di Matematica Pura ed Applicata, 1990 Annali di Matematica Pura ed Applicata Springer-Verlag 156/1(1990-12-01), 159-180 0373-3114 156:1<159 1990 156 10231 https://doi.org/10.1007/BF01766977 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01766977 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fuchs M. Mathematisches Institut der Universität Düsseldorf, Universitätsstr. 1, D-4000, Düsseldorf aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata Springer-Verlag 156/1(1990-12-01), 159-180 0373-3114 156:1<159 1990 156 10231 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer