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Session S02 - Diverse Aspects of Elliptic PDEs and Related Problems

Wednesday, July 14, 16:30 ~ 17:00 UTC-3

On the Principal Frequency of the Anisotropic $p$-Laplacian

Marian Bocea

National Science Foundation, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We study the monotonicity (with respect to $p$) of the principal frequency of the anisotropic $p$-Laplacian on bounded, convex domains with smooth boundary. As a consequence of our main result, we obtain a new variational characterization for the principal frequency on domains having a sufficiently small inradius. The talk is based on joint work with Denisa Stancu-Dumitru ("Politehnica" University of Bucharest, Romania) and Mihai Mihailescu (University of Craiova, Romania).

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