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Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications

Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications

Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications. Oscillation results are also obtained for forced superlinear elliptic equations and superlinear-sublinear elliptic equations.