Inequalities between Dirichlet and Neumann Eigenvalues on the Heisenberg Group

DOI10.1093/imrn/rnp230zbMath1198.35161arXiv0906.1402OpenAlexW2050238472MaRDI QIDQ2785990

Rupert L. Frank, A. A. Laptev

Publication date: 16 September 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1402

zbMATH Keywords

Heisenberg groupDirichlet eigenvaluesub-LaplacianNeumann eigenvalue

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (5)

A short note on universal inequalities for certain potential operators ⋮ Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups ⋮ Eigenvalue inequalities for the Laplacian with mixed boundary conditions ⋮ Unnamed Item ⋮ Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators

This page was built for publication: Inequalities between Dirichlet and Neumann Eigenvalues on the Heisenberg Group