Absence of positive eigenvalues for a class of subelliptic operators

DOI10.1007/BF01446315zbMath0847.35094OpenAlexW2018558796MaRDI QIDQ1914725

Nicola Garofalo, Zhongwei Shen

Publication date: 9 July 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165425

zbMATH Keywords

subelliptic operatorsabsence of positive eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Degenerate elliptic equations (35J70)

Related Items (7)

Doubly Nonlinear Degenerate Parabolic Equations with a Singular Potential for Greiner Vector Fields ⋮ Strong Unique Continuation Properties of Generalized Baouendi–Grushin Operators ⋮ A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality ⋮ Pohozaev-type identities for differential operators driven by homogeneous vector fields ⋮ Nonlinear degenerate parabolic equations with time-dependent singular potentials for Baouendi-Grushin vector fields ⋮ Hardy-type inequalities and Pohozaev-type identities for a class of \(p\)-degenerate subelliptic operators and applications. ⋮ Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unique continuation for a class of elliptic operators which degenerate on a manifold of arbitrary codimension
• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• Carleman estimates for a subelliptic operator and unique continuation
• Lower bounds for solutions of Schrödinger equations
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD
• ON A CLASS OF HYPOELLIPTIC OPERATORS

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