JournalsaihpcVol. 5, No. 4pp. 297–322

Stable defects of minimizers of constrained variational principles

  • Fang-Hua Lin

    Courant Institute of Mathematical Science, NYU, New York City, NY 10012 U.S.A.

  • R. Hardt

    School of Mathematics, University of Minnesota, Minneapolis, MN 55455 U.S.A.

  • D. Kinderlehrer

    School of Mathematics, University of Minnesota, Minneapolis, MN 55455 U.S.A.
Stable defects of minimizers of constrained variational principles cover
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Abstract

We prove energy and density bounds for minimizers of certain constrained variational problems, and we deduce limitations for their topological degree.

Résumé

On démontre des estimations a priori sur l’énergie et la densité des solutions de certains problèmes variationnels contraints, et l’on en déduit des bornes pour leur degréma topologique.

Cite this article

Fang-Hua Lin, R. Hardt, D. Kinderlehrer, Stable defects of minimizers of constrained variational principles. Ann. Inst. H. Poincaré Anal. Non Linéaire 5 (1988), no. 4, pp. 297–322

DOI 10.1016/S0294-1449(16)30340-7