In this paper, we study the existence of positive entire large and bounded radial positive solutions for the following nonlinear system {Sk1(λ(D2u1))+a1(|x|)|△u1|k1=p1(|x|)f1(u2) for x∈RN,Sk2(λ...In this paper, we study the existence of positive entire large and bounded radial positive solutions for the following nonlinear system {Sk1(λ(D2u1))+a1(|x|)|△u1|k1=p1(|x|)f1(u2) for x∈RN,Sk2(λ(D2u2))+a2(|x|)|△u2|k2=p2(|x|)f2(u1) for x∈RN.Here Ski (λ (D2ui)) is the ki-Hessian operator, a1, p1, f1, a2, p2 and f2 are continuous functions.展开更多
文摘In this paper, we study the existence of positive entire large and bounded radial positive solutions for the following nonlinear system {Sk1(λ(D2u1))+a1(|x|)|△u1|k1=p1(|x|)f1(u2) for x∈RN,Sk2(λ(D2u2))+a2(|x|)|△u2|k2=p2(|x|)f2(u1) for x∈RN.Here Ski (λ (D2ui)) is the ki-Hessian operator, a1, p1, f1, a2, p2 and f2 are continuous functions.