Methods and Applications of Analysis
Volume 27 (2020)
Special Issue for the 60th Birthday of John Urbas: Part I
Guest Editors: Neil Trudinger and Xu-Jia Wang (Australian National University)
A note on nodal sets on manifolds with lower Ricci bound
Pages: 359 – 374
In this note, we study nodal sets of harmonic functions on Riemannian manifolds with lower Ricci curvature bound and the noncollapsing lower volume bound. Both upper and lower bound measure estimates of nodal sets are established.
nodal sets, Ricci curvature, noncollapsing
2010 Mathematics Subject Classification
Primary 58J05. Secondary 35J15.
Received 19 March 2020
Accepted 15 July 2020
Published 24 September 2021