A Remark on the Existence of Entire Large and Bounded Solutions to a (k1, k2)-Hessian System with Gradient Term

doi:10.1007/s10114-017-6291-3

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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???S_k₁ (λ(D²u₁))+ a₁ (|x|) |∇u₁|^k₁ = p₁ (|x|) f₁ (u₂) for x ∈ R^N,
???20170603-02???S_k₂ (λ(D²u₂))+ a₂ (|x|) |∇u₂|^k₂ = p₂ (|x|) f₂ (u₁) for x ∈ R^N,
Here S_{k_i} (λ(D²u_i)) is the ki-Hessian operator, a₁, p₁, f₁, a₂, p₂ and f₂ are continuous functions.

Key words： Entire solution large solution elliptic system

Received: 08 June 2016

MR (2010):	35J05
	35J57
	35J60
	35J99

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	Dragos Patru COVEI

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Dragos Patru COVEI. A Remark on the Existence of Entire Large and Bounded Solutions to a (k₁, k₂)-Hessian System with Gradient Term[J]. Acta Mathematica Sinica, English Series, 2017, 33(6): 761-774.

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http://123.57.41.99/Jwk_sxxb_en/EN/10.1007/s10114-017-6291-3 OR http://123.57.41.99/Jwk_sxxb_en/EN/Y2017/V33/I6/761

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