Measure estimates of nodal sets of polyharmonic functions

DOI10.1007/s11401-018-0104-6zbMath1402.58010OpenAlexW2920191649MaRDI QIDQ1624205

Long Tian

Publication date: 15 November 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-0104-6

zbMATH Keywords

frequencypolyharmonic functionnodal setgrowth propertymeasure estimate

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Cites Work

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• Nodal sets of eigenfunctions on Riemannian manifolds
• The growth of \(H\)-harmonic functions on the Heisenberg group
• Measure estimates of nodal sets of bi-harmonic functions
• Nodal sets of solutions of elliptic and parabolic equations
• Unique continuation for elliptic operators: A geometric-variational approach
• Singular Sets of Higher Order Elliptic Equations
• Schauder estimates for elliptic operators with applications to nodal sets.