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A Remark on the Existence of Entire Large and Bounded Solutions to a (k1, k2)-Hessian System with Gradient Term 被引量:2
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作者 dragos patru covei 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2017年第6期761-774,共14页
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
关键词 Entire solution large solution elliptic system
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