Andrew Stuart (California Institute of Technology, USA)
Andreas Gastel and Olaf Müller
|16:15 ||Andreas Gastel|
|p-harmonic maps and Cosserat elasticity|
For minimizers in a geometrically nonlinear
Cosserat model for micropolar elasticity of continua, we prove interior Hölder regularity, up to isolated singular points that may be possible if the exponent p from the model is 2 or in (32/15,3). The obstacle to full continuity turns out to be the existence of certain minimizing homogeneous p-harmonic maps to S^3. For those, we slightly improve existing regularity theorems in order to achieve our result on the Cosserat model.
|17:45||Olaf Müller |
|Black Holes in Maxwell-Einstein Theory |