刚性纤维编织材料振动模型中偏微分方程的研究  

Research on Partial Differential Equations in the Vibration Model of Rigid Fiber Woven Materials

作　　者：任彬[1] 安玉坤[1] 

机构地区：[1]南京航空航天大学理学院,南京211106

出　　处：《西安文理学院学报（自然科学版）》2017年第2期7-11,共5页Journal of Xi’an University(Natural Science Edition)

摘　　要：研究非线性四阶椭圆型方程的边值问题解的存在性,该问题是在刚性纤维编织材料振动模型中研究的.运用山路引理,证明上述问题解的存在性.In this paper,the existence of solutions for a boundary value problem of nonlinear four order elliptic equations is studied,and this problem is studied in the vibration model of rigid fiber woven materials. The existence of solutions for the above problem is proved by using the mountain pass theorem.

关 键 词：四阶椭圆型方程 非线性 Ambrosetti-Rabinowitz条件 CARATHEODORY条件 

分 类 号：O175.25[理学—数学]