The Largest Eigenvalue of a Convex Function, Duality, and a Theorem of Slodkowski

First, we provide an exposition of a theorem due to Slodkowski regarding the largest “eigenvalue” of a convex function. In his work on the Dirichlet problem, Slodkowski introduces a generalized second-order derivative which for C 2 functions corresponds to the largest eigenvalue of the Hessian. The...

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Vydané v:	The Journal of geometric analysis Ročník 26; číslo 4; s. 3027 - 3055
Hlavný autor:	Dellatorre, Matthew
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.10.2016 Springer Nature B.V
Predmet:	Abstract Harmonic Analysis Convex and Discrete Geometry Convexity Differential Geometry Dirichlet problem Dynamical Systems and Ergodic Theory Eigenvalues Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Lower bounds Mathematics Mathematics and Statistics Theorems 52A41 35J60 Dualilty 26B25 Convex analysis Legendre transform estimates
ISSN:	1050-6926, 1559-002X
On-line prístup:	Získať plný text
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