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.
作者
吕定洋
LV Ding-yang(Department of Mathematics,Hunan First Normal University,Changsha,Hunan 410205,China)
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)
关键词
四阶椭圆型方程
临界点理论
对称山路定理
高能解
fourth-order elliptic equations
critical point theory
symmetric mountain pass theorem
highenergy solutions
