摘要
研究一类(p1(x),p2(x))-双调和方程在Navier边界条件下的边值问题,利用山路引理和Fountain定理证明了这类方程解的存在性和多重性.
In this paper,we study a boundary value problem of a class of(p1(x),p2(x))-biharmonic equations with Navier boundary condition.By applying the Mountain-Pass theorem and the Fountain theorem we establish the existence of solution and also show there are infinitely many solutions of the problem.
作者
钟秋平
吴甜甜
ZHONG Qiu-ping;WU Tian-tian(College of Liberal Arts Education,Guangdong Lingnan Institute of Technology,Guangzhou 510663,China;Department of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002,China)
出处
《数学的实践与认识》
北大核心
2020年第16期239-249,共11页
Mathematics in Practice and Theory
基金
国家自然科学基金“关于两个分量的非线性色散波方程组的研究”(11701525)
国家自然科学基金“修正的两个分量的Camassa-Holm系统的若干问题研究”(11326161)。
