一类Kirchhoff型p(t)-Laplace系统的无穷多周期解  

Infinitely many periodic solutions for a class of Kirchhoff-type p(t)-Laplacian systems

作　　者：张申贵[1] ZHANG Shen-gui(School of Math. and Compu. Sci., Northwest Minzu University, Lanzhou 730030, Chin)

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030

出　　处：《高校应用数学学报（A辑）》2018年第2期223-231,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(31260098);中央高校基本科研业务费(31920170147)

摘　　要：利用变指数Sobolev空间理论和临界点理论,研究Kirchhoff型p(t)-Laplace系统的周期解.当非线性项在零点附近次线性或在无穷远处超线性增长时,得到了此类系统无穷多个周期解的存在性.By using the theory of variable exponent Sobolev spaces and the critical point theory, periodic solutions for Kirchhoff-type p（t）-Laplacian systems are investigated. When the nonlinearity is sublinear near zero or the nonlinearity is superlinear at infinity, the existence of infinitely many periodic solutions for this system is obtained.

关 键 词：Kirchhoff型问题 p(t)-Laplace系统 周期解 临界点 

分 类 号：O175.14[理学—数学]