四阶变指数椭圆方程Navier边值问题的多解性  

Multiple solutions of Navier boundary value problem for fourth-order elliptic equation with variable exponents

作　　者：张申贵[1] ZHANG Shen-gui(College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, Chin)

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030

出　　处：《山东大学学报（理学版）》2018年第2期32-37,共6页Journal of Shandong University(Natural Science)

基　　金：甘肃省科技计划资助项目(1610RJZA102);中央高校基本科研专项经费资助项目(31920170147)

摘　　要：研究一类四阶变指数椭圆方程Navier边值问题。当非线性项超线性增长时,利用临界点理论中的喷泉定理,得到了多重解存在的充分条件。A class of Navier boundary value problem for fourth-order elliptic equation with variable exponents is investigated. When the nonlinear term is growing superlinearly, some sufficient conditions for the existence of multiplicity of solutions are obtained by using the fountain theorem in critical point theory.

关 键 词：变指数四阶椭圆方程 Navier边值问题 临界点 

分 类 号：O175.8[理学—数学]