关键词: 极大单调算子, 增生映射, hemi连续映射, curvature方程

Abstract:

By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta (1978), the
result on the existence of a solution u(x) in L^p(Ω) of nonlinear curvature equation with nonlinear Neumann boundary
value conditions, where 2N/N+1< p < +∞ and N≥1 denotes the dimension of R^N, is studied. The equation discussed in this paper and the methods here are continuation and complement to the previous corresponding results. To obtain the result, some new techniques are used in this paper.

Key words: Maximal monotone operator, Accretive mapping, Hemi-continuous mapping, Curvature equation