ON THE EXISTENCE OF POSITIVESOLUTIONS OF AN ELLIPTICBOUNDARY VALUE PROBLEMON THE EXISTENCE OF POSITIVESOLUTIONS OF AN ELLIPTICBOUNDARY VALUE PROBLEM

摘要

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.