含广义p-Laplace算子的非线性边值问题在L^2(Ω)中解的存在性  

The Existence of Solution of Nonlinear Boundary Value Problem Involving the Generalized p-Laplacian Operator in L^2(Ω)

作　　者：魏利[1] 

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061

出　　处：《河北师范大学学报（自然科学版）》2008年第6期723-726,共4页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(10471033)

摘　　要：利用非线性增生映射值域之和的扰动理论,研究了与广义p-Laplace算子相关的具有Neumann边值的非线性椭圆问题在L2(Ω)空间中解的存在性,其中2≤p<+∞.推广和补充了笔者以往的一些研究工作.By using the perturbation theorems on sums of ranges of nonlinear accretive mappings, the existence of solution of nonlinear elliptic problem with Neumann boundary value involving the generalized p-Laplaclan operator in L2（Ω） space is discussed, where 2≤p〈＋∞. The equation and methods here are continuation and complement to our previous works.

关 键 词：增生映射 单调算子 demi连续映射 广义P-LAPLACE算子 

分 类 号：O177.91[理学—数学]