Lower and upper bounds of Dirichlet eigenvalues for totally characteristic degenerate elliptic operators

DOI10.1007/s11425-014-4895-yzbMath1327.35269OpenAlexW2048922538MaRDI QIDQ487488

Dongyuan Xiao, Peng Luo, Ronghua Qiao, Hua Chen

Publication date: 22 January 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4895-y

zbMATH Keywords

Dirichlet eigenvalueslower bounds of eigenvaluesupper bounds of eigenvaluescone Laplaciancone Sobolev spaces

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Elliptic equations on manifolds, general theory (58J05) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Lower bounds of eigenvalues for a class of bi-subelliptic operators ⋮ Universal inequality and upper bounds of eigenvalues for non-integer poly-Laplacian on a bounded domain ⋮ Lower bounds of Dirichlet eigenvalues for some degenerate elliptic operators ⋮ Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \) ⋮ On the weighted Dirichlet eigenvalues of Hardy operators involving critical gradient terms ⋮ Biharmonic equations with totally characteristic degeneracy ⋮ Existence theorem for a class of semilinear totally characteristic elliptic equations involving supercritical cone Sobolev exponents ⋮ On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians

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• Multiple solutions for semilinear totally characteristic elliptic equations with subcritical or critical cone Sobolev exponents
• Bounds on eigenvalues of Dirichlet Laplacian
• Existence of solutions for degenerate elliptic equations with singular potential on conical singular manifolds
• On the Ratio of Consecutive Eigenvalues
• On the Eigenvalues of Vibrating Membranes^†

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