@article {10.3844/jmssp.2008.9.14,
article_type = {journal},
title = {Maximum Principles for Second Order Elliptic Equations in Nondivergence Form and Applications},
author = {Al-Mahameed, Mohammad},
volume = {4},
year = {2008},
month = {Mar},
pages = {9-14},
doi = {10.3844/jmssp.2008.9.14},
url = {https://thescipub.com/abstract/jmssp.2008.9.14},
abstract = {The main objectives of this study were to introduce a maximum principle for second order elliptic equations in nondivergence form and to use a nondivergence technique called the ABP method to establish the maximum principles in small domains. The advantage of this work was that we obtain a maximum principle for equations with discontinuous coefficients of the leading terms and the ABP estimate was a bound for solutions of uniformly elliptic equations written in nondivergence form with measurable coefficients. It was an essential tool in the regularity theory for fully nonlinear equations.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}