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.
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