一类四阶椭圆型方程的高能解的存在性  

EXISTENCE OF INFINITELY MANY LARGE SOLUTIONS FOR THE FOURTH-ORDER ELLIPTIC EQUATIONS

作　　者：吕定洋 LV Ding-yang(Department of Mathematics,Hunan First Normal University,Changsha,Hunan 410205,China)

机构地区：[1]湖南第一师范学院数学与计算科学学院,湖南长沙410205

出　　处：《井冈山大学学报（自然科学版）》2018年第3期1-4,共4页Journal of Jinggangshan University (Natural Science)

摘　　要：研究了一类四阶椭圆型方程的高能解的存在性,在对非线性项作新的假设条件下,利用临界点理论得到了方程无穷多高能解的存在性结果,对非线性项所作的假设比已有文献的假设要弱。We study the existence of infinitely many high energy solutions for a class of fourth-order elliptic equations. Under new assumptions on nonlinearity f, by using critical point theory, we obtain infinitely many large solutions for the equations. our assumptions on nonlinearity f are weaker than the existing results.

关 键 词：四阶椭圆型方程 临界点理论 对称山路定理 高能解 

分 类 号：O175[理学—数学]