Date | Apr 03, 2019 |
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Speaker | Arttu Karppinen |

Dept. | University of Turku |

Room | 27-325 |

Time | 11:00-12:00 |

In this presentation we will go over regularity of minimizers under Musielak-Orlicz growth conditions. The main focus will be in the assumptions that generalize for example log-Hölder continuity from the p(x)-case and q/p \leq 1+ \alpha /n from the double phase case. As an example of these assumptions in use, we prove Sobolev-Poincare inequality and sketch a proof for higher integrability of the gradient of a minimizer.

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