The main result of this thesis is that we prove certain versions of Ilmanen's lemmma. That means - given semiconvex (or locally semiconvex) function f1 and semiconcave (or locally semiconcave) function f2 such that f1 ≤ f2 we find a function f such that f1 ≤ f ≤ f2 and f is both semiconvex and semiconcave (or locally uniformly differentiable). We also give characterization (via a new variation) of those functions which are the difference of two ω-nondecreasing functions 1
Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:352611 |
Date | January 2016 |
Creators | Kryštof, Václav |
Contributors | Zajíček, Luděk, Johanis, Michal |
Source Sets | Czech ETDs |
Language | Czech |
Detected Language | English |
Type | info:eu-repo/semantics/masterThesis |
Rights | info:eu-repo/semantics/restrictedAccess |
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