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math.DG2011
Eigenvalues of the Laplacian on Riemannian manifolds
Qing-Ming Cheng, Xuerong Qi
For a bounded domain with a piecewise smooth boundary in a complete Riemannian manifold , we study eigenvalues of the Dirichlet eigenvalue problem of the Laplacian. By makin…
math.DG2010★ 4 cited
Inequalities for eigenvalues of the buckling problem of arbitrary order
Qing-Ming Cheng, Xuerong Qi, Qiaoling Wang +1
This paper studies eigenvalues of the buckling problem of arbitrary order on bounded domains in Euclidean spaces and spheres. We prove universal bounds for the k-th eigenvalue in t…