Title :
Maximum principles for inhomogeneous equation
Author :
He, Yafei ; Zhang, Hailiang
Author_Institution :
Dept. of Math., Zhejiang Ocean Univ., Zhoushan, China
Abstract :
A class of inhomogeneous semilinear elliptic equations is considered. The Hopf maximum principles are used to deduce that certain functions defined for solutions of the equation attain a maximum on the boundary of the domain or at a critical point of the solution. Dirichlet problem and Neumann problem are considered also. These maximum principles may be used to determine bounds for quantities of interest in some physical problems. Our results generalize and deepen those from corresponding work in [5, 6].
Keywords :
elliptic equations; partial differential equations; Dirichlet problem; Hopf maximum principles; Neumann problem; inhomogeneous semilinear elliptic equations; Boundary conditions; Equations; Mathematical model; Nonhomogeneous media; Oceans; P-function; elliptic equation; inhomogeneous; maximum principle;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002687