摘要
利用变指数Sobolev空间理论和临界点理论中的Clark定理,研究一类变指数椭圆系统的边值问题.当非线性项在零点附近p--次线性增长时,得到该系统无穷多个解的存在性.
By using the theory of variable exponent Sobolev spaces and the Clark’s theorem in critical point theory, a class of boundary value problem of elliptic systems with variable exponent are studied. When the nonlinearity has a p--sublinear growth near zero, the existence of infinitely many solutions for this system are obtained.
作者
张申贵
ZHANG Shen-gui(School of Math.and Compu.Sci.,Northwest Minzu University,Lanzhou 730030,China)
出处
《高校应用数学学报（A辑）》
北大核心
2019年第4期420-428,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(11401473)
中央高校基本科研业务费专项资助(31920180041)
