Abstract
Picone identities for quasilinear elliptic equations with p(x)-Laplacians are established, and Sturmian comparison theory is developed on the basis of Picone identities. As specializations, various elliptic equations such as linear elliptic equations, half-linear elliptic equations with p-Laplacians, half-linear elliptic equations with p(x)-Laplacians, pseudo p-Laplacian with variable power are discussed. Generalizations are also investigated.
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