Existence of solutions to nonlinear Neumann boundary value problems with generalized p-Laplacian operator
Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta [B.D. Calvert, C.P. Gupta, Nonlinear elliptic boundary value problems in L-P-spaces and sums of ranges of accretive operators, Nonlinear Anal. 2 (1978) 1-26], we present some abstract existence results for the solutions of nonlinear Neumann boundary value problems involving the generalized p-Laplacian operator. The equation discussed in this paper and the method used extend and complement some of the previous work. (C) 2008 Elsevier Ltd. All rights reserved.
generalized p-laplacian operator accretive mapping maximal monotone operator hemi-continuous mapping