ON THE EXISTENCE OF SOLUTIONS FOR NONLINEAR NEUMANN BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN OPERATOR

摘要

Using perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta [3], we present the abstract results on the existence of solutions of nonlinear Neumann boundary value problems involving p-Laplacian operator. The equation discussed in this paper and the method used here extend and complement some of the previous work.