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Comparison theorems for elliptic differential equations

Comparison theorems for elliptic differential equations

In recent years the classical Sturm-Picone comparison theorem for a pair of second order ordinary differential equations has been generalized in two directions. First, Hartman and Wintner [3] have extended the theorem to self-adjoint elliptic equations in n dimensions. On the other hand, Leighton [5] has shown in the case …