Variational methods and Weak Topologies: Part 1

 One of the central facts that turns functional analysis into a non-trivial generalization of linear algebra is the lack of compactness phenomena that arises in the infinite dimensional analysis. Indeed, in virtue of  Riesz's lemma the closed balls are never sequentially compact (and therefore never compact) in infinite dimensional NLS's. On the other hand, since … Continue reading Variational methods and Weak Topologies: Part 1

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