A Class of Weak Solution Existence Problems for Nonlinear Fourth-order p-Laplace Equations
In this paper,the minimal element method is used to solve a class of nonlinear fourth-order p-Laplace equations.The basic content of the minimal element method is to determine the minimal element of the corresponding functional of the differential equation,and prove the existence of the weak solution of the differential equation by the existence of the minimal element.In this pa-per,a functional is first constructed according to the function corresponding to the differential equation in the sense of integral by parts,and the equation at the functional minimum element satisfies the definition of weak solution.Secondly,the existence problem of the weak solution is transformed into the existence problem of the equation corresponding to the functional minimal element,and the existence of the weak solution is proved,the only weak solution satisfies such nonlinear fourth-order p-Laplace equations.
万方数据
维普
