Title :
Maximum principles for nonlinear elliptic equations in unseparated variables
Author :
Zhang, Hailiang ; Xu, Haina
Author_Institution :
Dept. of Math., Zhejiang Ocean Univ., Zhoushan, China
Abstract :
This paper is devoted to a class of nonlinear elliptic equations posed by Schaefer in 1977. We obtain maximum principles for certain functions, which are defined on solutions of the elliptic equations in unseparated variables form. The principles may be used to deduce some bounds on important quantities in physical problems of interest.
Keywords :
boundary-value problems; elliptic equations; maximum principle; nonlinear equations; boundary value problems; maximum principles; nonlinear elliptic equations; unseparated variables; Boundary conditions; Equations; Mathematical model; Oceans; System-on-a-chip; boundary problem; elliptic equation; gradient estimate; maximum principle;
Conference_Titel :
Consumer Electronics, Communications and Networks (CECNet), 2011 International Conference on
Conference_Location :
XianNing
Print_ISBN :
978-1-61284-458-9
DOI :
10.1109/CECNET.2011.5768395