Takayori Ono (Fukuyama University)
Properties of superharmonic functions for quasilinear elliptic equations
Abstract.
We consider quasi-linear second order elliptic equations of the form
(E) -div A(x, grad u) + B(x, u) = 0
on a euclidean domain, where A(x, h) satisfies weighted structure conditions of p-th order and B(x, t) is nondecreasing in t. In this talk, we investigate some properties of superharmonic functions for the equations (E). Also, we give relations between superharmonic functions and solutions of the equations with a nonnegative Radon measure on the right-hand side.

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