Study On Positive Radial Solution Of Biharmonic Equation Boundary Value Problem And Positive Solution Of Elliptic System Of Equations

In this paper,we mainly study the boundary value of a class of biharmonic equations and the positive solutions of a class of semilinear elliptic equations.The existence and uniqueness of positive solutions for boundary value problems of biharmonic equations and the existence of positive radial solutions for elliptic equations are studied.The main methods used in this paper are fixed point principle and definite bound principle.This paper focuses on the development background of differential equations.Using the fixed point theorem and the principle of certainty,the existence of positive radial bounded solutions for a class of biharmonic equation boundary value problems is studied,and the uniqueness is studied,and an example is given.