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arXiv · 1901.11018

Inequalities for eigenvalues of fourth order elliptic operators in divergence form on Riemannian manifolds

Shahroud Azami
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Abstract

In this paper, we study eigenvalue of linear fourth order elliptic operators in divergence form with Dirichlet boundary condition on a bounded domain in a compact Riemannian manifolds with boundary (possibly empty) and find a general inequality for them. As an application, by using this inequality, we study eigenvalues of this operator on compact domains of complete submanifolds in a Euclidean space.

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Shahroud Azami. 2019-01-30. Inequalities for eigenvalues of fourth order elliptic operators in divergence form on Riemannian manifolds. https://arxiv.org/abs/1901.11018

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