Optimal lower estimate for the first eigenvalue of the p-Laplacian

2024/03/23 by Matheus Nunes Soares, Soares, Matheus Nunes, Fábio R. dos Santos +1
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2403.15964

Abstract

An integral inequality is derived for compact submanifolds (with or without boundary) in the unit sphere. This result leads to a characterization of spheres.

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