Is there is a non-constant function such that each point is its local minimum?
34750
If every point is a local maximum, is it a step function?
151285
Existence of a local geodesic frame
29647
Do there exist functions satisfying $f(x+y)=f(x)+f(y)$ that aren't linear?
18082
A continuous function that attains neither its minimum nor its maximum at any open interval is monotone
107595
Iteratively minimizing the function
138720
Minimum principle in Hilbert space
101724
Expected minimum distance from a point with varying density
56552
Smooth Elementary Function that Outgrows All Tower Functions?
58816
Existence of a continuous function which does not achieve a maximum.
34325
Minimizing $\sum_{i=1}^n \max(|x_i - x|, |y_i - y|)$ - Sum of Max of Absolute Values
93076
When $\min \max = \max \min$?
17406
Determine all the extrema of a function subject to a non-linear constraint.
64197
Subgradients of non-convex functions
128959
Minimize the sum of distances between two point and a circle
33308
Unique local extremum is absolute extremum for continuous functions
103241
A function that is continuous at the origin but not differentiable there
129465
Minimizing Frobenius norm of a special type