Tuesday, August 6, 2024 - 14:00 in V5-148
Potential estimates and nonlocal nonlinear equations with measure data
A talk in the BI.discrete series by
Kyeong Song from Korea Institute for Advanced Study
| Abstract: |
We consider nonlocal equations involving fractional p-Laplace type operators and signed measure data. Especially, we extend the existence, regularity and Wolff potential estimates for SOLA (Solutions Obtained as Limits of Approximations), established by Kuusi, Mingione, and Sire (Comm. Math. Phys., 2015), to any p>1. Moreover, using Wolff potentials and Orlicz Capacities, we present both a sufficient and a necessary conditions for the existence of SOLA to nonlocal equations with power or exponential reaction terms. These results are based on a joint work with Quoc-Hung Nguyen and Jihoon Ok.
Within the CRC this talk is associated to the project(s): B7 |
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