摘要
利用变指数Sobolev空间理论和临界点理论中的Clark定理,研究一类Kirchhoff型p(x)-双调和方程Navier边值问题.当非线性项满足次临界条件且在零点附近次线性增长时,得到了无穷多解的存在性.
By using the theory of variable exponent Sobolev spaces and the Clark＇s theorem in critical point theory,the author investigated Navier boundary value problem for a class of Kirchhoff-type p（x）-biharmonic equation. When the nonlinear term satisfied the critical condition and growed linearly near zero,the author obtained the existence of infinitely many solutions.
作者
张申贵
ZHANG Shengui(College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, Chin)
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2017年第4期861-865,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:31260098)
西北民族大学中央高校基本科研业务费专项基金(批准号:31920130004)
