一类(p1(x),p2(x))-双调和方程解的存在性及多重性  

Existence and Multiplicity of Solutions for a Class of (p1(x),p2(x))-biharmonic Equations

作　　者：钟秋平[1] 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)

机构地区：[1]广东岭南职业技术学院博雅教育学院,广东广州510663 [2]郑州轻工业大学数学与信息科学学院,河南郑州450002

出　　处：《数学的实践与认识》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)。

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.

关 键 词：(p1(x) p2(x))-双调和方程 临界点 变指数Lebesgue-Sobolev空间 山路引理 Fountain定理 

分 类 号：O175.8[理学—数学]