Reverse Poincaré-type inequalities for the weak solution of system of partial differential inequalities

Abstract

Abstract In this work we develop the square integral estimates for the functions of n variables which are subharmonic with respect to some variables and for other remaining variables are superharmonic. It is in a sense a generalization of reverse Poincaré type inequalities for the difference of superharmonic functions developed in (J. Inequal. Appl. 2015: doi:10.1186/s13660-015-0916-9 , 2015).

Keywords

• subharmonic functions
• superharmonic functions
• system of differential inequalities
• weak solution