𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Fuzzy topology with respect to continuous lattices

✍ Scribed by M.W. Warner


Book ID
107901418
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
341 KB
Volume
35
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Integral functionals that are continuous
✍ Robert ČernΓ½; Stanislav Hencl; Jan KolΓ‘Ε™ πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 685 KB

Let Ω βŠ‚ R N be a bounded open set and let g: Ω Γ— R β†’ R be a CarathΓ©odory function that satisfies standard growth conditions. Then the functional Ξ¦(u) = Ω g (x, u(x)) dx is weakly continuous on W 1,p 0 (Ω), 1 ≀ p ≀ ∞, if and only if g is linear in the second variable.