Maximum principle for fully nonlinear equations via the iterated comparison function method

Abstract

We present various versions of generalized Aleksandrov-Bakelman-Pucci (ABP) maximum principle for L-viscosity solutions of fully nonlinear second-order elliptic and parabolic equations with possibly superlinear-growth gradient terms and unbounded coefficients. We derive the results via the “iterated” comparison function method, which was introduced in our… (More)

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