Work

Strict Log-Concavity of First Dirichlet Eigenfunctions under Symmetry in $\mathbb{CP}^n$

Year: 2026

Type: preprint

Abstract: We prove that the positive first Dirichlet eigenfunction of every smooth domain with convex boundary in $\mathbb{CP}^n$ invariant under the standard $U(1)\times U(n-1)$-action is strictly log-concave for $n=2,3,4$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.00716

Author: Hsu, Jia-Lin

Institution: University of California, Santa Barbara

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7216150527

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