Picone identities for half-linear elliptic operators with p(x)-Laplacians and applications to Sturmian comparison theory

摘要

Picone identities are established for a class of half-linear elliptic operators with p(x)-Laplacians, and Sturmian comparison theorems are obtained on the basis of the Picone identities. Specializations to half-linear partial or ordinary differential inequalities with p(x)-Laplacians are shown.