# Tagged Questions

0answers
38 views

### fundamental optimal-trajectory result known?

It's well-known and obvious that if you have a spaceship and your sole constraint is an upper bound on magnitude of acceleration/deceleration, the fastest way to get to a distant star (a fixed ...
0answers
60 views

### Approximating solutions to minima of the discrete Lagrangian

I have been stuck on this problem for a week and I'm not sure whether or not it is hard or I'm just missing something obvious. General gist of the problem I have a variational problem on a ...
1answer
213 views

### A Lagrangian problem with a countable family of local extrema ?

Dear MO contributors, let $r > 0, L > 0$. I am interested in maximizing the integral: $$\int_0^{2\pi} \frac{f(\alpha)^2 f'(\alpha)^2}{\sqrt{f(\alpha)^2 + f'(\alpha)^2}} \ \mathrm{d} \alpha$$ ...
2answers
198 views

### Equitable division of a contiguous resource

I have come across the following result regarding equitable division of a resource, which is a simple and immediate consequence of linear programming complementarity (in the infinite-dimensional ...
1answer
128 views

### Proving that a constructed curve solves an optimization problem

Caveat up-front: I'm not a mathematician, so please excuse any stupidity/ignorance that follows. First, let me explain what I'm trying to do: I want to choose a function that maximizes the following ...
0answers
140 views

### Max an integral with endpoints varying with the extremal function.

Hello all, Usually the calculus of variations' take on not variable endpoints means to choose a point in a fixed function, but what I need is for that point to be defined by the function I am ...
1answer
182 views