Some Remarks on Robin-Laplacian Eigenvalues
Leonardo Trani
TL;DR
This paper investigates properties of Robin-Laplacian eigenvalues, focusing on how the first eigenvalue behaves on annuli, using shape optimization to reveal monotonicity properties.
Contribution
It introduces new monotonicity results for Robin-Laplacian eigenvalues on annuli via shape optimization techniques.
Findings
Monotonicity properties of the first Robin eigenvalue on annuli
Application of shape optimization methods to eigenvalue problems
Insights into boundary condition effects on eigenvalues
Abstract
We study some properties of Laplacian eigenvalues with negative Robin boundary conditions. We will show some monotonicity properties on annuli of the first eigenvalue by means of shape optimization techniques.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Composite Material Mechanics