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Results tagged with calculus-of-variations
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user 13093
Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
7
votes
3
answers
706
views
When is perimeter continuous under Hausdorff convergence?
It is known that the perimeter is lower semicontinuous for the convergence of sets. Two variants are widely known:
(Golab's theorem) in $\Bbb{R}^2$ if the sets $\Omega_n$ converge to $\Omega$ in the …
- 2,222
0
votes
Accepted
Convergent algorithm for dividing a body into two regions of equal volume
There is an algorithm, based on a $\Gamma$-convergence result, which can find the minimal surface which divides a shape into two regions of equal volume. More details can be found in this link and thi …
- 2,222
0
votes
When is perimeter continuous under Hausdorff convergence?
I found a paper which deals with the case I'm interested. It shows that for the particular case of minimal relative perimeter sets with given volume constraint the relative perimeter of the minimizers …
- 2,222