Titlebook: Variational Methods; Proceedings of a Con Henri Berestycki,Jean-Michel Coron,Ivar Ekeland Conference proceedings 1990 Springer Science+Busi

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Lagrange Multipliers, Morses Indices and Compactness“l(fā)evel of the constraint” and corresponds to the possible losses of compactness which are basically due to the effect of “unbounded translations” or “concentrating-diluting dilations.” In some sense, the strict subadditivity inequalities represent the energy balance preventing (and this is necessary

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1421-1750 ms. We have chosen to concentrate on three main aspects of these problems, organizing them roughly around the following topics: 1. Variational methods in partia978-1-4757-1082-3978-1-4757-1080-9Series ISSN 1421-1750 Series E-ISSN 2374-0280

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1421-1750 ific Research), a meeting was held in Paris in June 1988. It took place in the Conference Hall of the Ministere de la Recherche and had as an organizing theme the topic of "Variational Problems." Nonlinear analysis has been one of the leading themes in mathemat- ical research for the past decade. Th

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Counting Singularities in Liquid Crystalsthe best constant) and is the first bound of its kind. We also show that the locations and numbers of singular points of minimizing maps is often counterintuitive; in particular, boundary symmetries need not be respected.

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Approximation in Sobolev Spaces between two manifolds and homotopy groupssuch a condition does not hold, we show that we can approximate maps in ..(.., ..) by maps smooth except on a singular set which has a simple shape. We consider also the problem of the weak density of smooth maps.

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