Multiple Positive Solutions to Nonlinear Schrödinger Equations with Competing Potential Functions
Multiple Positive Solutions to Nonlinear Schrödinger Equations with Competing Potential Functions
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DOI：
10.1006/jdeq.1999.3662
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发表时间：
2000
影响因子：
2.4
通讯作者：
S. Cingolani;M. Lazzo
中科院分区：
文献类型：
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作者：
S. Cingolani;M. Lazzo
本文得到了非线性椭圆型方程−h2 Δu+V（x）u=K（x）的多重正解|u| p−2 u+Q（x）|u| q−2 u，x∈RN，其中V，K，Q是竞争势函数。我们将解的个数与合适的基态能量函数的全局极小集的拓扑联系起来，改进了最近X的一个存在性结果。Wang和B. Zeng（1997，SIAM J.Math.Anal.28，633-655）。
In this paper we obtain multiple positive solutions of the nonlinear elliptic equation −h2 Δu+V(x) u=K(x) |u|p−2 u+Q(x) |u|q−2 u, x∈RN, where V, K, Q are competing potential functions. We relate the number of solutions with the topology of the global minima set of a suitable ground energy function and improve a recent existence result of X. Wang and B. Zeng (1997, SIAM J. Math. Anal.28, 633–655).