Find a discontinuous function from $\mathbb R^n \to \mathbb R$ which is weakly differentiable.
30036
Function in $H^1$, but not continuous
116806
Find the weak sequential closure of a set in $L^2(-\pi,\pi)$
119348
Find sequence of differentiable functions $f_n$ on $\mathbb{R}$ that converge uniformly, but $f'_n$ converges only pointwise
27265
Continuously differentiable map from $\mathbb{R}^{m+n}$ to $\mathbb{R}^n$
27757
$\mathbb{R}\to\mathbb{R}$ Diffeomorphism with special property
149407
Weak-to-weak continuous operator which is not norm-continuous
130586
$f$ is discontinuous $\iff$ kernel($f$) is dense in X
133231
Discontinuity of Thomae Function on $\mathbb{Q}$
7861
Non-analytic smooth function
101230
Example of an increasing, integrable function $f:[0,1]\to\mathbb{R}$ which is discontinuous at all rationals?
98772
Continuity of a function in $\mathbb{R}$
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
157347
continuity, discontinuity derivative and relation to being derivative but its partials are not continuous
112404
Eliminating discontinuities for increasing function
154881
Question on differentiability of a continuous function
126461
Show that $g:I\to\mathbb{R}$ is continuous and $f:(x-x_0)g(x)$ is differentiable
67791
Can I exchange limit and differentiation for a sequence of smooth functions?