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Therefore, is weakly lower semi-continuous on.
Then φ is weakly lower semi-continuous.
As I is weakly lower semi-continuous, J is weakly lower semi-continuous.
This shows that Q is weakly lower semicontinuous on E. □.
Since the norm is weakly lower semicontinuous, we have (3.46).
Since the functional φ is weakly lower semicontinuous, (28).
Proof By Lemma 3.1, J is weakly lower semi-continuous.
We will show that is weakly lower semicontinuous on.
So X ϵ is weakly lower semi-continuous.
(f u)) is weakly lower semi-continuous on F.
Since is weakly lower semicontinuous, we can show that (2.12).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com