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.
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.
