ON THE EXISTENCE OF POSITIVE SOLUTIONS OF AN ELLIPTIC BOUNDARY VALUE PROBLEM

Using variational method, the authors get an existence result for positive solutions of a superlinear elliptic boundary value problem without assuming the P.S. condition. To prove the results in this paper, the authors adopt the method of gradient flow and use a new class of truncation functions. Project supported by the National Natural Science Foundation of China and the Research Fund for the Doctoral Program of Higher Education of China.