44 citations · 169 across the 33 of their papers we have counts for
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math.AP2010
Existence of an absolute minimizer via Perron's method
Vesa Julin
In this paper the existence of an absolute minimizer for a functional \[ F(u,Ω) = \underset{x \in Ω}{\text{ess sup}} \, f (x, u(x), Du(x)) \] is proved by using Perron's method. Th…
math.AP2010★ 18 cited
Convexity criteria and uniqueness of absolutely minimizing functions
Scott N. Armstrong, Michael G. Crandall, Vesa Julin +1
We show that absolutely minimizing functions relative to a convex Hamiltonian are uniquely determined by their boundary values under minimal assumpt…