Example of function in $H^1(U)$ which is not continuous, where $U \subset R^2$ has a smooth boundary.
53841
Function always continuous in a Sobolev Space?
83915
Showing that a function is not differentiable
113450
Construction of a function which is not the pointwise limit of a sequence of continuous functions
158567
A uniform continuous function which is not Hölder continuous
113498
Example of topological spaces where sequential continuity does not imply continuity
64619
Continuity of a function of product spaces
44057
Pointwise but not uniform convergence of continuous functions on $[0,1]$
26126
$f \in L^1$, but $f \not\in L^p$ for all $p > 1$
136592
Examples of manifolds that are not boundaries
140618
An example of a sequence of Riemann integrable functions $(f_n)$ that converges pointwise to a function $f$ that is not Riemann integrable.
7861
Non-analytic smooth function
115417
Continuity of $L^1$ functions with respect to translation
130019
Function that is continuous only on the transcendental numbers
79107
Give an example of a function $f: \mathbb{R} \to \mathbb{R}$ which is continuous only at $0$.
155923
continuity of $f(x,y)$ in $\mathbb R^2$.
156839
Functions Which are non differentiable on a Given Set.
77621
Continuity of function mapping connected set to connected set