Estimates of Dirichlet eigenvalues for a class of sub‐elliptic operators

DOI10.1112/PLMS.12392zbMath1472.35251arXiv1905.13373OpenAlexW3109568060MaRDI QIDQ4957066

Hua Chen, Hong-Ge Chen

Publication date: 3 September 2021

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13373

zbMATH Keywords

sub-elliptic Dirichlet heat kernel, generalized Métivier index

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Degenerate elliptic equations (35J70) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Subelliptic equations (35H20)

Related Items (6)

Upper bound estimates of eigenvalues for Hörmander operators on non-equiregular sub-Riemannian manifolds ⋮ Unnamed Item ⋮ Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups ⋮ The first Grushin eigenvalue on Cartesian product domains ⋮ On semilinear equations with free boundary conditions on stratified Lie groups ⋮ Existence and multiplicity of solutions to Dirichlet problem for semilinear subelliptic equation with a free perturbation

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