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Non-smooth critical point theory on closed convex sets

✍ Scribed by Marano, Salvatore A.; Mosconi, Sunra

Book ID: 125839406
Publisher: American Institute of Mathematical Sciences
Year: 2014
Tongue: English
Weight: 393 KB
Volume: 13
Category: Article
ISSN: 1534-0392
DOI: 10.3934/cpaa.2014.13.1187

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## Abstract Let __E__ be a Banach space and Φ : __E__ → ℝ a 𝒞^1^‐functional. Let 𝒫 be a family of semi‐norms on __E__ which separates points and generates a (possibly non‐metrizable) topology 𝒯~𝒫~ on __E__ weaker than the norm topology. This is a special case of a gage space, that is, a topological