Estimates of eigenvalues for subelliptic operators on compact manifold
From MaRDI portal
Publication:2334872
DOI10.1016/j.matpur.2019.09.012zbMath1431.35042OpenAlexW2974447050MaRDI QIDQ2334872
Publication date: 8 November 2019
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2019.09.012
Estimates of eigenvalues in context of PDEs (35P15) Degenerate elliptic equations (35J70) Asymptotic distributions of eigenvalues in context of PDEs (35P20)
Related Items
Nonnegative solutions and multiple solutions for a class of weighted Hamiltonian subelliptic systems ⋮ Upper bound estimates of eigenvalues for Hörmander operators on non-equiregular sub-Riemannian manifolds ⋮ Estimates for eigenvalues of a class of fourth order degenerate elliptic operators with a singular potential ⋮ Existence and multiplicity of solutions to Dirichlet problem for semilinear subelliptic equation with a free perturbation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Balls and metrics defined by vector fields. I: Basic properties
- The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator
- Heat kernel estimates and lower bound of eigenvalues
- Hypoelliptic differential operators and nilpotent groups
- Estimates for sums of eigenvalues of the Laplacian
- Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3-dimensional contact case
- On the product theory of singular integrals
- Hypoelliptic second order differential equations
- The spectral function of an elliptic operator
- Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques
- Fractional Sobolev norms and structure of Carnot-Carathéodory balls for Hörmander vector fields
- A sharp subelliptic Sobolev embedding theorem with weights
- Geometric Analysis