Covering Lemmas and an Application to Nodal Geometry on Riemannian Manifolds

DOI10.2307/2159524zbMath0803.35006OpenAlexW4244578376WikidataQ124884504 ScholiaQ124884504MaRDI QIDQ4039297

Guozhen Lu

Publication date: 15 December 1994

Full work available at URL: https://doi.org/10.2307/2159524

zbMATH Keywords

covering lemmanodal geometry

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05)

Related Items

Boundary doubling inequality and nodal sets of Robin and Neumann eigenfunctions, Local version of Courant's nodal domain theorem, Geometry and interior nodal sets of Steklov eigenfunctions

Cites Work

• Unnamed Item
• Nodal geometry on Riemannian manifolds
• Nodal sets of eigenfunctions on Riemannian manifolds
• Covering lemmas and BMO estimates for eigenfunctions on Riemannian surfaces
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces