Lower order eigenvalues of the poly-Laplacian with any order on spherical domains

Bingqing Ma; Guangyue Huang

arxiv: 0910.4096 · v1 · submitted 2009-10-21 · 🧮 math.DG · math.SP

Lower order eigenvalues of the poly-Laplacian with any order on spherical domains

Guangyue Huang , Bingqing Ma This is my paper

classification 🧮 math.DG math.SP

keywords orderdomainseigenvalueslowerpoly-laplaciansphericalconsiderinequalities

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We consider the lower order eigenvalues of poly-Laplacian with any order on spherical domains. We obtain universal inequalities for them and show that our results are optimal.

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Lower order eigenvalues of the poly-Laplacian with any order on spherical domains

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