PICONE-TYPE INEQUALITY AND STURMIAN COMPARISON THEOREMS FOR QUASILINEAR ELLIPTIC OPERATORS WITH p(x)-LAPLACIANS

Norio Yoshida
2012 Electronic Journal of Differential Equations   unpublished
A Picone-type inequality for quasilinear elliptic operators with mixed nonlinearities and with p(x)-Laplacian is established, and Sturmian comparison theorems are derived on the basis of the Picone-type inequality. Generalizations to more general quasilinear elliptic operators with p(x)-Laplacians and specializations to quasilinear ordinary differential operators with p(t)-Laplacians are shown.
fatcat:2f7jvyezvzgefawxbqbwr2mx4i