TWO SEQUENCES OF SOLUTIONS FOR INDEFINITE SUPERLINEAR-SUBLINEAR ELLIPTIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

摘要

In this paper, we study semilinear elliptic equations with nonlinear Neumann boundary conditions. We prove the existence of a sequence of solutions converging to zero if the nonlinear term is locally sublinear and the existence of a sequence of solutions diverging to infinity if the nonlinear term is locally superlinear.