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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