数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (4): 432-447.
严树森, 李工宝
Yan Shusen, Li Gongbao
摘要： In this paper, we study the following eigenvalue problem involving limiting nonlinearity
-△u=λf(x,u),x∈RN u∈D1,2(RN),λ∈R1 by a new way of using the concentration-compactness principle. Even in the nonlimiting situation, we improve the known result in the positive mass case in the sense of seeking a nontrivial solution of the above eigenvalue problem.