Variational Integrals of a Class of Nonhomogeneous A-Harmonic Equations

被引：1
|
作者：
Li, Guanfeng [1 ]
Wang, Yong [1 ]
Bao, Gejun [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
D O I：
10.1155/2014/697974
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a class of variational integrals whose Euler equations are nonhomogeneous A-harmonic equations. We investigate the relationship between the minimization problem and the Euler equation and give a simple proof of the existence of some nonhomogeneous A-harmonic equations by applying direct methods of the calculus of variations. Besides, we establish some interesting results on variational integrals.
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收藏
页数：10
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