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Limiting Convex Examples for Nonconvex Subdifferential Calculus
Nonsmooth analysis subdifferentials coderivatives extremal principle open mapping theorem metric regularity multiplier rules compactly Lipschitzian conditions
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2009/1/23
We show, largely using convex examples, that most of the core results for limiting subdifferential calculus fail without additional restrictions in infinite dimensional Banach spaces.
Nonexistence of Solutions in Nonconvex Multidimensional Variational Problems
Gradient Young measures extreme points Cantor sets integration factors Bauer principle nonattainment
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2009/1/19
In the scalar n-dimensional situation, the extreme points in the set of certain gradient Lp-Young measures
are studied. For n = 1, such Young measures must be composed from Diracs, while for n µ...