Acta mathematica scientia, Series B >
EXISTENCE OF A COOPERATIVE ELLIPTIC SYSTEM INVOLVING PUCCI OPERATOR
Received date: 2007-07-28
Revised date: 2007-09-17
Online published: 2010-01-20
Supported by
This work is supported by National Natural Sciences Foundations of China (10571175, 10631030).
The authors study the existence of solutions for the nonlinear elliptic system
{ -M\+λ, ∧(D2u)=f(u, v) in Ω,
-M\+λ, ∧(D2v)=f(u, v) in Ω,
u ≥ 0, v ≥ 0 in Ω,
u=v=0 on ∂Ω,
where Ω is a bounded convex domain in RN, N ≥ 2. It is shown that under some assumptions on f and g, the problem has at least one positive solution (u,v).
Key words： fixed point index; nonlinear elliptic system; Pucci operator
Yang-Jian-Fu , YU Xiao-Hui . EXISTENCE OF A COOPERATIVE ELLIPTIC SYSTEM INVOLVING PUCCI OPERATOR[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 137 -147 . DOI: 10.1016/S0252-9602(10)60030-6
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