An example of non-convex minimization and an application to Newton's problem of the body of least resistance
By Thomas Lachand-Robert, Mark A. Peletier. 2001
53 citations recorded by the source corpus.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/2b5d74e6cc0213eef40fd2d2cfef34421d06bca7
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In Applied Mathematics
Citations in the corpus
- Partially overdetermined elliptic boundary value problems (2008, unknown): “By the strict convexity of Γ ∗, we may use the results in [23] to infer that the stationarity of Ω∗ implies the pointwise equality |∇uΩ∗(x)| = c on Γ ∗.”
- Newton's problem of the body of minimal resistance in the class of convex developable functions (2001, background): “In Section 5 we show in addition that this polygon must be regular and centered.”