Date | Dec 02, 2022 |
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Speaker | 김효진 |

Dept. | 서울대학교 |

Room | 27-220 |

Time | 16:00-17:00 |

This thesis involves various regularity results of nonlocal elliptic equations with Orlicz growth.

First, we prove the existence and uniqueness of a weak solution to a nonlocal Dirichlet problem with Orlicz growth by using variational methods.

Next, we show local Hölder continuity of a weak solution to such a nonlocal elliptic equation by obtaining a suitable Sobolev-Poincaré type inequality and a logarithmic estimate.

Finally, we derive Harnack inequality by finding a precise tail estimate.

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