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arXiv · 2012.04016

On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians

Huyuan Chen·Mousomi Bhakta·Hichem Hajaiej
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Abstract

In this paper, we show the existence of a sequence of eigenvalues for a Dirichlet problem involving two mixed fractional operators with different orders. We provide lower and upper bounds for the sum of the eigenvalues. Applications of mixed fractional operators with different orders include medicine, plasma physics, and population dynamics.

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Huyuan Chen, Mousomi Bhakta, Hichem Hajaiej. 2020-12-07. On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians. https://arxiv.org/abs/2012.04016

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