利用Calvert和Gupta关于非线性增生算子值域的扰动结果，研究了当2≤p<+∞时，一类非线性黎曼边值问题在Lp(Ω)空间中解的存在的充分 条件 .所讨论的方程与Gupta-Hess相比更一般化，而且把解的存在性的研究由L2(Ω)空间 推广到LP(Ω)(2≤p<+∞)空间中.
By using the perturbation results on sums of ranges of nonlinear accretive operators of Calvert-Gupta,the authors study the suff icient condition of the existence of the solution of one kinds of nonlinear Neum ann boundary value problem in Lp(Ω)(2≤p<+∞).The equation discussed is more general than that of Gupta-Hess and the equation is discussed in more general space Lp(Ω)(2≤p<+∞)instead of L2(Ω).
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