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