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Universität Augsburg
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Universität Augsburg
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Dr. Christopher Hopper
Universität Salzburg
spricht am
Donnerstag, 30. November 2017
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16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| The problem of obtaining regularity results for manifold-constrained minimisers of convex, or quasi-convex, functionals features a number of interesting obstacles to full regularity, particularly when there is no recourse to a monotonicity formula. It is possible to mitigate the introduction of this non-linear pointwise constraint by lifting Sobolev mappings to the universal covering space and appeal to the connectedness of the covering space. By doing so partial regularity becomes achievable via a direct argument using a Lipschitz approximation argument on the level of the gradient. Several applications to variational problems in condensed matter physics that motivate this class of problems will also be discussed. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Lisa Beck |