Korean J. Math. Vol. 26 No. 4 (2018) pp.747-756
DOI: https://doi.org/10.11568/kjm.2018.26.4.747

A maximum principle for non-negative zeroth order coefficient in some unbounded domains

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Sungwon Cho


We study a maximum principle for a uniformly elliptic second order differential operator in nondivergence form. We allow a bounded positive zeroth order coefficient in a certain type of unbounded domains. The results extend a result by J. Busca in a sense of domains, and we present a simple proof based on local maximum principle by Gilbarg and Trudinger with iterations.

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