Existence of saddle solutions of a nonlinear elliptic equation involving p-Laplacian in more even-dimensional spaces  

作　　者：Huahui YAN Zhuoran DU 

机构地区：[1]College of Mathematics and Econometrics, Hunan University, Changsha 410082, China

出　　处：《Frontiers of Mathematics in China》2016年第6期1613-1623,共11页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 11101134, 11371128） and the Young Teachers Program of Hunan University. The authors thank the anonymous referees for their valuable comments and suggestions.

摘　　要：We show that there exist saddle solutions of the nonlinear elliptic equation involving the p-Laplacian, p 〉 2, -△p^u -= f（u） in R^2m for all dimensions satisfying 2m ≥ p, by using sub-supersolution method. The existence of saddle solutions of the above problem was known only in dimensions 2m≥ 2p.We show that there exist saddle solutions of the nonlinear elliptic equation involving the p-Laplacian, p 〉 2, -△p^u -= f（u） in R^2m for all dimensions satisfying 2m ≥ p, by using sub-supersolution method. The existence of saddle solutions of the above problem was known only in dimensions 2m≥ 2p.

关 键 词：P-LAPLACIAN saddle solutions sub-supersolution method 

分 类 号：T[一般工业技术]