Calculus of Variations and Geometric Measure Theory

D. Bartolucci - A. Jevnikar - R. Wu

A Courant nodal domain theorem for linearized mean field type equations

created by jevnikar on 21 Jan 2023
modified on 22 Jan 2023



Inserted: 21 jan 2023
Last Updated: 22 jan 2023

Pages: 18
Year: 2023


We are concerned with the analysis of a mean field type equation and its linearization, which is a nonlocal operator, for which we estimate the number of nodal domains for the radial eigenfunctions and the related uniqueness properties.

Keywords: Nodal domain theorem, radial eigenfunction, mean field type equations