Multiple solutions for a class of nonlinear Schrödinger equations
Multiple solutions for a class of nonlinear Schrödinger equations
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DOI：
10.1016/j.jde.2004.07.030
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发表时间：
2004-12
影响因子：
2.4
通讯作者：
Yanheng Ding;S. Luan
中科院分区：
文献类型：
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作者：
Yanheng Ding;S. Luan
本文给出了薛定谔方程存在无穷多个同宿型解的新条件，假设V（x）和g（x，u）周期地依赖于x，我们讨论了g（x，u）为|u| →∞、渐近线性或超线性，但假设条件与以往研究不同。我们的方法是变分的，我们使用的Cerami条件，而不是Palais-Smale的变形参数。
In this paper, we find new conditions to ensure the existence of infinitely many homoclinic type solutions for the Schrödinger equationAssuming V(x) and g(x,u) depend periodically on x, we deal with the situations where g(x,u) is, as |u|→∞, asymptotically linear, or superlinear with certain hypothesis different from ones used in previous related study. Our approach is variational and we use the Cerami condition instead of the Palais–Smale one for deformation arguments.