【摘 要】
：
We consider the system of coupled elliptic equations {-△u-λ1u =μ1u3+βuv2-△v-λ2v =μ2v3+βu2v in R3, studying the existence of positive solutions satis
【机 构】
：
Justus-Liebig-UniversityofGiessen
【出 处】
：
非线性偏微分方程和数学物理研讨会(NPDEMP 2016)
论文部分内容阅读
We consider the system of coupled elliptic equations {-△u-λ1u =μ1u3+βuv2-△v-λ2v =μ2v3+βu2v in R3, studying the existence of positive solutions satisfying the additional condition ∫R3u2 = a21 and ∫R3v2 = a22.Assuming that a1,a2,μ1,μ2 are positive fixed quantities,we prove existence results for different ranges of the coupling parameter β,which can take both positive and negative values.
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