含有广义(p,q)-Laplacian算子的抛物型方程组解的存在性  

EXISTENCE OF THE SOLUTION TO PARABOLIC SYSTEMS INVOLVING THE GENERALIZED (p,q)-LAPLACIAN OPERATOR

作　　者：魏利[1] 刘元星[1] 

机构地区：[1]河北经贸大学数学与统计学学院,石家庄050061

出　　处：《系统科学与数学》2015年第9期1092-1103,共12页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(11071053);河北省自然科学基金项目(A2014207010);河北省教育厅科学研究计划重点项目(ZH2012080);河北经贸大学科研重点项目(2015KYZ03)资助课题

摘　　要：利用极大单调算子和m增生映射值域的扰动结果,研究了一类含有广义(p,q)-Laplacian算子并具有混合边值条件的抛物型方程组,证明了方程组解的存在性的结果.文中所用方法是对以往一些研究工作的推广和补充.Based on some perturbation results on the ranges of maximal monotone operators and m-accretive mappings,one kind of parabohc systems involving the generalized（p,q）-Laplacian operator with mixed boundary conditions is studied in this paper.The existence of the solution to the given parabolic systems is obtained.The method used in this paper extends and complements some previous ones.

关 键 词：极大单调算子 m增生映射 (p q)-Laplacian算子 抛物型方程组 

分 类 号：O175.26[理学—数学]