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Sep
30
awarded  Explainer
Sep
16
comment normal cone to sublevel set
Oh, yes, you are right.
Sep
15
comment normal cone to sublevel set
For this inequality, I only used the definition of the directional derivative and the convexity of $f$. I did not used that $\mathrm{cone}\partial f(\bar x)$ is closed, but only $\mathrm{cone} A^\circ \supset A^\circ$, see edit.
Sep
15
revised normal cone to sublevel set
added 81 characters in body
Sep
15
answered normal cone to sublevel set
Sep
13
comment Property of intersections of Bochner spaces
I'm not sure whether it works, by you can have a look on interpolation theory, e.g., the book by Tartar.
Sep
13
answered Constructing a function $u\in (W_0^{1,p}(B)\cap C(B))\setminus C(\overline{B})$.
Sep
13
answered Prove that solution of a variational problem exists
Sep
13
answered Are all definite integrals considered functionals?
Sep
4
comment Fréchet normal cone
Then you could answer your own question. That may help other users.
Sep
3
comment Fréchet normal cone
Can you show what you have tried?
Sep
3
revised Fréchet normal cone
Fixed some formatting
Aug
7
comment How do you show $\int \limits_{X \times Y} f(x,y)\, d\lambda < \infty$ if $\int \limits_{X} \int \limits_{Y} f(x,y) \,d\nu \,d\mu < \infty$?
Isn't this just Fubini/Tonelli's Theorem en.wikipedia.org/wiki/…?
Aug
7
reviewed Leave Open Convergence in distribution/Distribution of X
Jul
26
comment Bounded from below or not?
What can you tell about the norm of the (elements of the) minimizing sequence?
Jul
26
answered Bounded from below or not?
Jul
25
comment Logarithmic question
@Winther: oops :)
Jul
25
answered Logarithmic question
Jul
25
answered taking convex hull does not add extreme points
Jul
24
answered How do the inner products on $L^2$ look like?