一类奇异临界的(p,q)-Laplacian拟线性方程组非负基态解的存在性  

THE EXISTENCE OF NONNEGATIVE GROUND STATE SOLUTIONS FOR A CLASS OF SINGULAR CRITICAL(p,q)-LAPLACIAN QUASILINEAR SYSTEMS

作　　者：张文丽[1] 

机构地区：[1]长治学院数学系,长治046011

出　　处：《系统科学与数学》2014年第5期602-611,共10页Journal of Systems Science and Mathematical Sciences

基　　金：山西省高校科技研究开发(20111129)资助课题

摘　　要：研究了一类含Sobolev临界指数的奇异(p,q)-Laplacian拟线性椭圆方程组,利用变分方法,结合Nehari流形和集中紧性原理证明对应的能量泛函满足局部(PS)条件,得到了这类方程组非负基态解的存在性.In this paper, a class of singular （p, q）-Laplacian quasilinear systems in- volving Sobolev critical exponents are studied. By using the variational method, together with Nehari manifold and concentration compactness principle, the exis- tence of the nonnegative ground state solution is proven for the systems by proving that the energy functional corresponding to the systems satisfies the （PS） condition.

关 键 词：非负基态解 奇异拟线性椭圆方程组 NEHARI流形 集中紧性原理 Sobolev临界指数. 

分 类 号：O175.25[理学—数学]