2 papers
math.CA2025
On inequalities between norms of partial derivatives on convex domains
Alexander Plakhov, Vladimir Protasov
We consider inequalities between -norms of partial derivatives, , for bivariate concave functions on a convex domain that vanish on the boundary. Can the rat…
math.OC2024
Local minima in Newton's aerodynamical problem and inequalities between norms of partial derivatives
Alexander Plakhov, Vladimir Protasov
The problem considered first by I. Newton (1687) consists in finding a surface of the minimal frontal resistance in a parallel flow of non-interacting point particles. The standard…