Generalized Harnack inequality for semilinear elliptic equations
Abstract
This paper is concerned with semilinear equations in divergence form \[ (A(x)Du) = f(u) \] where f : [0,∞) is nondecreasing. We prove a sharp Harnack type inequality for nonnegative solutions which is closely connected to the classical Keller-Osserman condition for the existence of entire solutions.
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