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Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with p(x)-LaplaciansKeywords: p(x)-Laplacian , Picone-type inequality , quasilinear elliptic operators , Sturmian comparison theorem , mixed nonlinearities Abstract: 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.
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