一类四阶椭圆型方程解的存在性  

Existence of Solutions for a Class of Fourth-order Elliptic Equations

作　　者：阳晃 陈会文[1] 李家萌 YANG Huang;CHEN Huiwen;LI Jiameng(School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China)

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2022年第6期65-71,共7页Journal of University of South China：Science and Technology

摘　　要：研究了一类四阶椭圆型方程解的存在性,在对非线性项作新的假设条件下,通过山路引理得到了四阶椭圆方程的一个非平凡解的存在性结果。In this paper, we study the existence of solutions for a class of fourth-order elliptic equations. Under new assumptions on nonlinearity f, the existence of a nontrivial solution of a fourth order elliptic equation is obtained by using critical theorems.

关 键 词：四阶椭圆型方程 变分法 山路引理 非平凡解 

分 类 号：O175.25[理学—数学]