ISSN:
1432-0835
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract. This paper has three topics. In Sect. 1, we present our results on the regularity and a priori estimates for solutions of $p$ -harmonic systems with Hölder continuous coefficients. Such systems come up in the study of Ginzburg-Landau type functional in higher dimensions. In Sect. 2, we study a stability inequality, which, in addition to its applications in the study of Ginzburg-Landau type functional, is of independent interest. In Sects. 3 and 4, we prove that for any sequence of minimizers of the higher dimensional Ginzburg-Landau type functional, a subsequence converges strongly away from a finite number of points, generalizing some of the two dimensional results of Bethuel, Brezis, and Hélein.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01189953
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