The minimum of $F(u)=\int_0^1 |u'(x)-u(x)| dx$
57695
Show $\inf_f\int_0^1|f'(x)-f(x)|dx=1/e$ for continuously differentiable functions with $f(0)=0$, $f(1)=1$.
138720
Minimum principle in Hilbert space
708
Find the minimum of $(u-v)^2+ (\sqrt{2-u^2}-\frac{9}{v})^2$ for $00$.
44817
Lower bound on energy is potential minimum
151958
How to show $f'(0)$ exist and is equal to $1$?
65827
When $\min_{x \in X,y \in Y} f(x,y) = \min_{x \in X} \min_{y \in Y} f(x,y)$?
107727
$m\{x\in [0,1]:f'(x)=0\}>0$
128495
Integral Inequality $|f''(x)/f(x)|$
127634
query on maximum minimum of multi-variable function
34888
An MCQ for finding the extremal of the functional $J = \int_{a}^{b} F(x, y, y^{'})$
42266
Show that $d(x,y)=\min \{1,|x-y|\}$ is a metric on $\mathbb R$
154612
$\int_{0}^{x} f(t) dt \ge {f(x)}$ holds or not on $[0,1]$
101778
Show that there is $\eta\in(0,1)$ with $f''(\eta)=f(\eta)$
158407
derivative bounded by a constant multiple of the function
46844
Show that if $\int_0^x f(y)dy \sim Ax^\alpha$ then $f(x)\sim \alpha Ax^{\alpha -1}$
5365
Bound on $|f'(0)|$ of a holomorphic funtion in the unit disk
67625
$C([0, 1])$ is not complete with respect to the norm $\lVert f\rVert _1 = \int_0^1 \lvert f (x) \rvert \,dx$