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

Sungwon Cho

Abstract


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.  


Keywords


Maximum principle in unbounded domains, Second-order elliptic equation, Measurable coefficients, A priori estimates, Behavior of subsolution at infinity

Subject classification

35B50; 35B45; 35J15

Sponsor(s)



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References


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