J. Ross

activity

20052023

most citedUnstable products of smooth curves

36 citations · 112 across the 21 of their papers we have counts for

collaborators

Showing 2018 · math.APShow all

2 papers · 2 filters

math.AP2018

Differentiability of the argmin function and a minimum principle for semiconcave subsolutions

Julius Ross, David Witt Nyström

Suppose $f (x, y) + \frac{κ}{2} ∥ x ∥^{2} - \frac{σ}{2} ∥ y ∥^{2}$ is convex where $σ > 0$ , and the argmin function $γ (x) = {γ : in f_{y} f (x, y) = f (x, γ)}$ exists and is single valued. We will…

math.AP2018

The Minimum Principle for Convex Subequations

Julius Ross, David Witt Nyström

A subequation on an open subset $X \subset R^{n}$ is a subset $F$ of the space of $2$ -jets on $X$ with certain properties. A smooth function is said to be $F$ -subharmonic if a…