Some Studies Of Two Nonlinear Partial Differential Equations(System)

This paper investigates two nonlinear partial differential equations(system). This paper deals with the first problem which is existence of positive solutions to the following Lotka -Volterra bio-mathematical model with the mixed boundary conditionsBy using the estates theory of the elliptic equation and variation methods, it is obtained that if the problem (2) possesses positive solutions, then the following linear problem also exists a non-negative solution...