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A Remark on the Existence of Entire Large and Bounded Solutions to a (k1, k2)-Hessian System with Gradient Term |
Dragos Patru COVEI |
Department of Applied Mathematics, The Bucharest University of Economic Studies, Piata Romana, 1st district, postal code: 010374, postal office: 22, Romania |
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Abstract In this paper, we study the existence of positive entire large and bounded radial positive solutions for the following nonlinear system ???20170603-01???Sk1 (λ(D2u1))+ a1 (|x|) |∇u1|k1 = p1 (|x|) f1 (u2) for x ∈ RN, ???20170603-02???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.
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Received: 08 June 2016
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About author:: 35J05;35J57;35J60;35J99 |
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