Further result on Dirichlet-Sch type inequality and its application

Abstract

Abstract In this paper we deal with a theoretical question raised in connection with the application of Dirichlet-Sch type inequality, obtained by Huang (Int. Math. J. 27(02):1650009, 2016), which has been already applied to obtain multiplicity results for boundary value problems in several recent papers. We also discuss a particular case of it in more detail. As an application, we deduce the least harmonic majorant and log-concavity of extended subharmonic functions.

Keywords

• Dirichlet-Sch type inequality
• harmonic function
• Schrödinger PWB solution