摘要: In this paper, we get the existence result of the nontrivial weak solution (λ, u) of the following eigenvalue problem
-Di(aij(u)Dju)+(1)/2aiju(u)DiuDju+hu=λ|u|p-2u,x∈Rn,u∈H1(Rn)∩L∞(Rn) with natural growth conditions.
严树森, 李工宝. EXISTENCE OF NONTRIVIAL SOLUTION OF QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM ON Rn WITH NATURAL GROWTH CONDITIONS[J]. 数学物理学报(英文版), 1990, 10(2): 121-134.
Yan Shusen, Li Gongbao. EXISTENCE OF NONTRIVIAL SOLUTION OF QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM ON Rn WITH NATURAL GROWTH CONDITIONS[J]. Acta mathematica scientia,Series B, 1990, 10(2): 121-134.