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Results tagged with calculus-of-variations
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user 109533
Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
5
votes
Mass minimizing current in real homology class
Since $T$ is a closed current, it has a local primitive $u$, which is a function such that for any smooth $n - 1$-form $\varphi$ with support on the set where $u$ is defined,
$$\int_T \varphi = \int_M …
- 708
3
votes
Accepted
Is every area-minimizing cone a level set of a least-gradient function?
Yes. Let $L := \mathbf C \cap \partial B_1$ be the link of $\mathbf C$. Since $\mathbf C$ meets $\partial B_1$ transversely and is smooth near $\partial B_1$, $L$ can be viewed as a closed submanifold …
- 708