Journal ArticleDOI
A note on removable singularities for minima of certain vector-valued obstacle problems
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This article is published in Archiv der Mathematik.The article was published on 1987-06-01. It has received 6 citations till now. The article focuses on the topics: Obstacle problem & Removable singularity.read more
Citations
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Journal ArticleDOI
p-Harmonic obstacle problems
TL;DR: In this article, it was shown that if U: Ω → Y minimizes the p-energy functional functional gap, then U is continuous in a neighborhood of δω.
Journal ArticleDOI
An elementary partial regularity proof for vector-valued obstacle problems
TL;DR: In this paper, the authors consider a set of fonctions de comparaison of Sobolev v ∈ H 1,2 (Ω, M) avec la propriete v(x)∈M pour presque tous les points x dans Ω.
Journal ArticleDOI
The regularity of minima of variational problems with graph obstacles
Martin Fuchs,Michael Wiegner +1 more
Journal ArticleDOI
The smoothness of the free boundary for a class of vector-valued problems
TL;DR: In this article, the authors consider a minimizer u: Rn Ω→n of Dirichlet's integral under the additional side condition In(.) ⊂ M for a smooth domain M⊂RN.
References
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BookDOI
Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105
TL;DR: In this article, the authors present a book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems (AM-105), which is an extension of their previous work.
Journal Article
Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems.
Willi Jäger,Helmut Kaul +1 more
TL;DR: The analysis of the existence, uniqueness, regularity and stability of rotationally Symmetrie Solutions is not only instructive but also contributes to the general theory of nonlinear elliptic systems as mentioned in this paper.
Journal Article
On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order
TL;DR: In this paper, the authors implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).