# American Institute of Mathematical Sciences

September  2012, 11(5): 1897-1910. doi: 10.3934/cpaa.2012.11.1897

## Local maximum principle for $L^p$-viscosity solutions of fully nonlinear elliptic PDEs with unbounded coefficients

 1 Department of Mathematics, Saitama University, 255 Shimo-Okubo, Urawa, Saitama 338-8570 2 School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA 30332-0160

Received  March 2011 Revised  June 2011 Published  March 2012

We establish local maximum principle for $L^p$-viscosity solutions of fully nonlinear elliptic partial differential equations with unbounded ingredients.
Citation: Shigeaki Koike, Andrzej Świech. Local maximum principle for $L^p$-viscosity solutions of fully nonlinear elliptic PDEs with unbounded coefficients. Communications on Pure & Applied Analysis, 2012, 11 (5) : 1897-1910. doi: 10.3934/cpaa.2012.11.1897
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