A solution to Newton’s least resistance problem is uniquely defined by its singular set
Let $u$ minimize the functional $F(u) = \int_\Omega f(\nabla u(x))\, dx$ in the class of convex functions $u : \Omega \to {\mathbb R}$ satisfying $0 \le u \le M$, where $\Omega \subset {\mathbb R}^2$ is a compact convex domain with nonempty interior and $M > 0$, and $f : {\mathbb R}^2 \to {\mathb...
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| Format: | article |
| Language: | eng |
| Published: |
2022
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| Online Access: | http://hdl.handle.net/10773/35429 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/35429 |