Selfimproving convexity and Ornstein's L-one noninequalities
- Date
- Jan 13, 2016
- Time
- 5:00 PM - 6:00 PM
- Speaker
- Prof. Dr. Bernd Kirchheim
- Affiliation
- Universität Leipzig, Mathematisches Institut, Abteilung Analysis
- Series
- TUD Dresdner Mathematisches Seminar
- Language
- de
- Main Topic
- Mathematik
- Other Topics
- Mathematik
- Host
- Prof. Dr. R. Chill
- Description
- Vectorial problems in the Calculus of Variations are naturally related to generalized notions of convexity - which for instance characterize weak lower semicontinuity locally or globally. Since the seminal work by Morrey, mainly the differences between these notions were investigated. Here we rather present a result which shows that for one-homogeneus functions all these possible convexity notions agree in the best possible way. This result, obtained jointly with Jan Kristensen (Oxford), moreover allows to put Ornstein's famous L-one non-inequality as well as similar constructions by S.Conti, D.Faraco, F.Maggi and S.Mueller into a unifying framework and to generalize them easily.
- Links
Last modified: Dec 3, 2015, 6:24:02 PM
Location
TUD Willers-Bau (WIL C 307)Zellescher Weg12-1401069Dresden
- Homepage
- https://navigator.tu-dresden.de/etplan/wil/00
Organizer
TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
- Phone
- 49-351-463 33376
- Homepage
- http://tu-dresden.de/mathematik
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