Multiple positive solutions for semi-linear elliptic systems with sign-changing weight
Multiple positive solutions for semi-linear elliptic systems with sign-changing weight
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DOI：
10.1016/j.jmaa.2013.07.014
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发表时间：
2014
影响因子：
1.3
通讯作者：
H. Fan
中科院分区：
文献类型：
--
作者：
H. Fan
本文研究了一类同时含有凹凸项和临界增长项的半线性椭圆型方程组正解的多重性结果。借助Nehari流形和Lusternik-Schnirelmann范畴，研究了临界非线性系数h（x）对该问题正解个数的影响，得到了正解个数与h的全局最大值集拓扑的关系.
In this paper, we study the multiplicity results of positive solutions for a semi-linear elliptic system involving both concave–convex and critical growth terms. With the help of the Nehari manifold and the Lusternik–Schnirelmann category, we investigate how the coefficient h (x) of the critical nonlinearity affects the number of positive solutions of that problem and get a relationship between the number of positive solutions and the topology of the global maximum set of h.