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On the Harnack inequality for quasilinear elliptic equations with a first order term
Published 15 Jan 2016 in math.AP | (1601.03863v1)
Abstract: We consider weak solutions to $$-\Delta_pu+a(x,u)|\nabla u|q=f(x,u),$$ with $p>1$, $q\geq\max\,{p-1,1}$. We exploit the Moser iteration technique to prove a Harnack comparison inequality for $C1$ weak solutions. As a consequence we deduce a strong comparison principle.
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