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  • Springer  (3)
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  • 1
    Electronic Resource
    Electronic Resource
    Degenerate elliptic systems and applications to Ginzburg-Landau type equations, Part I (1996)
    Springer
    Calculus of variations and partial differential equations 4 (1996), S. 497-497 
    Details
    ISSN: 1432-0835
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01246153
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Degenerate elliptic systems and applications to Ginzburg-Landau type equations, part I (1996)
    Springer
    Calculus of variations and partial differential equations 4 (1996), S. 171-202 
    Details
    ISSN: 1432-0835
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper has three topics. In Sect. 1, we present our results on the regularity and a priori estimates for solutions ofp-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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01189953
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Degenerate elliptic systems and applications to Ginzburg-Landau type equations, Part I (1996)
    Springer
    Calculus of variations and partial differential equations 4 (1996), S. 171-202 
    Details
    ISSN: 1432-0835
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01189953
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
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