Rigidity on an eigenvalue problem with mixed boundary condition
Sergio Almaraz, Ezequiel Barbosa
TL;DR
This paper establishes a rigidity result for spherical caps and applies it to analyze an eigenvalue problem with mixed boundary conditions, advancing understanding in geometric analysis.
Contribution
It introduces a new rigidity theorem for spherical caps and applies it to eigenvalue problems with mixed boundary conditions, providing novel insights.
Findings
Rigidity result for spherical caps
Application to eigenvalue problem with mixed boundary conditions
Enhanced understanding of geometric eigenvalue problems
Abstract
We prove an Obata-type rigidity result for the spherical cap and apply it for an eigenvalue problem with mixed boundary condition.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Spectral Theory in Mathematical Physics