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

Shigeaki Koike; Andrzej Świech

doi:10.3934/cpaa.2012.11.1897

Article Contents

2012, Volume 11, Issue 5: 1897-1910. Doi: 10.3934/cpaa.2012.11.1897

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

Shigeaki Koike^1, and
Andrzej Świech^2,

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: February 28, 2011

Revised: May 31, 2011

Published: August 2012

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Abstract

We establish local maximum principle for $L^p$-viscosity solutions of fully nonlinear elliptic partial differential equations with unbounded ingredients.

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Mathematics Subject Classification: Primary: 45J15, 35J60, 35B50.

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References

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