H增生映射和含有广义(p,q)-Laplacian算子的非线性椭圆系统  

H Accretive Mappings and Nonlinear Elliptic Systems Involving Generalized (p,q)-Laplacain

作　　者：魏利[1] 张瑞兰[1] Ravi P.Agarwal WEI LI;ZHANG RUILAN;RAVI P.AGARWAL(School of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,China;Department of Mathematics,Texas A＆M University-Kingsville,Kingsville,TX 78363,USA;Distinguished University Professor of Mathematics,Florida Institute of Technology,Melbourne,EL 32901,USA)

机构地区：[1]河北经贸大学数学与统计学学院,石家庄050061 [2]Department of Mathematics, Texas A & M University -Kingsville, Kingsville, TX 78363, USA [3]Distinguished University Professor of Mathematics,Florida Institute of Technology, Melbourne, FL 32901, USA

出　　处：《应用数学学报》2018年第5期653-666,共14页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(No.11071053);河北省自然科学基金(No.A2014207010);河北省教育厅科研重点项目(No.ZD2016024);河北经贸大学科研重点项目(No.2016KYZ07)资助

摘　　要：利用H增生映射的性质,证明了含有广义（p,q）-Laplacian算子的非线性椭圆系统存在唯一解的结论.证明方法简单且研究结果展示了H增生映射和非线性椭圆系统之间的关系,推广和补充了以往的相关研究工作.By using the properties of H-accretive mappings, the abstract result for the existence of the unique solution of nonlinear elliptic systems involving the generalized （p, q）- Laplacian is proved. The proof techniques is simplified and the main result shows the connections between H-accretive mappings and nonlinear elliptic systems, which generalize and complment some of the previous corresponding work.

关 键 词：H增生映射 极大单调算子 (p q)-Laplacian算子 非线性椭圆系统 

分 类 号：O177.91[理学—数学]