Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds

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概要

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• Given a compact Riemannian manifold M with boundary (possibly empty), we consider the eigenvalues of the biharmonic operator with weight on M, proving a general inequality involving them. Using this inequality, we consider these eigenvalues when M is a compact domain of one of the following three spaces: 1) a complex projective space, 2) a minimal submanifold of a Euclidean space and 3) a minimal submanifold of a unit sphere.

著者

• Wang Qiaoling

  Departamento de Matemática, Universidade de Brasília

• Xia Changyu

  Departamento de Matemática, Universidade de Brasília

関連論文

• Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds
• Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds

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