Convexity and concavity of the ground state energy

Abstract

This note proves convexity resp. concavity of the ground state energy of one dimensional Schrödinger operators as a function of an endpoint of the interval for convex resp. concave potentials.

3 pages, corrected version

Cited by in corpus (1)

• Sharp quantitative Faber-Krahn inequalities and the Alt-Caffarelli-Friedman monotonicity formula