ASYMPTOTIC BEHAVIOR OF SOLUTION FOR BOUNDARY VALUE PROBLEM OF NONLINEAR ELLIPTIC EQUATIONS WITH TWO PARAMETERS
具有两参数的非线性椭圆型方程边值问题解的渐近性态

A class of boundary value problem for nonlinesr elliptic equations with two parameters is considered. Introducing the variables of multiple scales, the formal asymptotic solution is constructed. By using the theory of differential inequalities, the existence and uniform validity of the asymptotic solution for boundary value problem are proved.