Eigenvalues of the buckling problem of arbitrary order on bounded domains of $\mathbb{M}\times\mathbb{R}$

TL;DR

This paper establishes universal inequalities for eigenvalues associated with the buckling problem of arbitrary order on bounded domains within the product space of a manifold and the real line, advancing spectral theory in geometric analysis.

Contribution

It introduces new universal eigenvalue inequalities for higher-order buckling problems on product manifolds, extending previous results to more general settings.

Findings

Derived universal inequalities for eigenvalues of arbitrary order buckling problems.

Extended spectral bounds to domains in product manifolds of the form $ imes\mathbb{R}$.

Provided theoretical tools for analyzing eigenvalues in geometric PDEs.

Abstract

We obtain universal inequalities for eigenvalues of the buckling problem of arbitrary order on bounded domains in $\mathbb{M}\times\mathbb{R}$.