一类非迷向Heisenberg群上凸函数的极大值原理

Maximum principle of convex functions on non-isotropic Heisenberg groups

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摘要基于极大值原理在椭圆型方程中的重要意义,希望获得凸函数在一类非迷向Heisenberg群上的极大值原理.结合凸函数的定义,利用迭代方法,建立了凸函数的Harnack型不等式,然后结合该群上凸函数比较原理,得到了凸函数的极大值原理. Maximum principle is very important in elliptic equations,maximum principle of convex functions on non-isotropic Heisenberg group is obtained.First,the definition of convex functions on non-isotropic Heisenberg group is introduced.Then,Harnack-type inequality for convex functions is created with iterative methond on non-isotropic Heisenberg group,combining the comparison principles of convex functions,maximum principle is obtained.

作者王彦林赵宁波

机构地区西安工程大学理学院

出处《纺织高校基础科学学报》 CAS 2010年第4期433-438,共6页 Basic Sciences Journal of Textile Universities

基金西安工程大学校管课题(09G23)

关键词凸函数比较原理 Harnack型不等式极大值原理 convex function maximam principle comparison principle harnack-type inequality

分类号 O175.2 [理学—基础数学]

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一类非迷向Heisenberg群上凸函数的极大值原理

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