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Wednesday, March 8, 2023 - 17:25 in H2


Isolation of the first eigenvalue for a nonlinear problem involving the fractional Laplacian

A talk in the Nonlocal Equations: Analysis and Numerics 2023 series by
Alireza Tavakoli from Stockholm

Abstract: In this talk we will discuss an eigenvalue problem associated with fractional Poincare-Sobolev inequalities. This problem has been studied already by Franzina and Licheri. In the sub-linear case of the problem isolation has been established for bounded $C^{1,1}$ domains. We will give another proof allowing for less regular domains.

This talk is based on a recent joint work with Alireza Ataei https://arxiv.org/abs/2302.06262

Within the CRC this talk is associated to the project(s): A7



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