𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Fréchet differentiability of certain energy functionals

✍ Scribed by R Martini

Publisher
Elsevier Science
Year
1976
Weight
267 KB
Volume
79
Category
Article
ISSN
1385-7258

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Generic Fréchet Differentiability of Con
Generic Fréchet Differentiability of Convex Functions on Non-Asplund Spaces
✍ Cheng Lixin; Shi Shuzhong; E.S. Lee 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 204 KB

Let f be a continuous convex function on a Banach space E. This paper shows that every proper convex function g on E with g F f is generically Frechet differentiable if and only if the image of the subdifferential map Ѩ f of f has the Radon᎐Nikodym property, and in this case it is equivalent to show

Entire Functions of Bounded Type on Fréc
Entire Functions of Bounded Type on Fréchet Spaces
✍ Pablo Galindo; Domingo García; Manuel Maestre 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 844 KB

We show that holomorphic mappings of bounded type defined on Frechet spaces extend to the bidual. The relationship between holomorphic mappings of bounded type and of uniformly bounded type is discussed and some algebraic and topological properties of the space of all entire mappings of (uniformly)

Local Factorization of Differential Form
Local Factorization of Differential Forms on Fréchet–Schwartz Spaces
✍ Roberto Luiz Soraggi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 245 KB

The reduction of the Ѩ-problem on a Frechet nuclear space to the study of the Ѩ-operator on a Hilbert space produces a global solution u when the second member w factors globally through this Hilbert space. Easy counterexamples show that this global factorization is not in general possible and hence