与 p-Laplacian 算子相关的非线性Neumann边值问题解的存在性

Existence of Solutions for Nonlinear Neumann Boundary Value Problems

中文关键词:  极大单调算子  增生映射  hemi连续映射.

英文关键词:maximal monotone operator  accretive mapping  hemi--continuous mapping.

中文摘要:

      利用Calvert 和Gupta关于非线性增生映射值域之和的扰动定理, 给出了一类与p-Laplacian算子相关的非线性Neumann边值问题解的存在性的抽象结论. 文中所研究的方程及所应用的方法推广和补充了以往的一些研究工作.

英文摘要:

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