Acta mathematica scientia,Series B ›› 1990, Vol. 10 ›› Issue (2): 121-134.
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Yan Shusen, Li Gongbao
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Abstract: 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.
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.
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