Existence and multiplicity results for a Sturm-Liouville equation asymptotically linear at -∞ and superlinear +∞
Existence and multiplicity results for a Sturm-Liouville equation asymptotically linear at -∞ and superlinear +∞
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DOI：
10.1016/s0362-546x(98)00228-4
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发表时间：
2000-02
影响因子：
1.4
通讯作者：
K. Perera
中科院分区：
文献类型：
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作者：
K. Perera
67万Perera/Nonlinear Analysis 39（2000）669-684最近，De Figueiredo和Ruf [4]对0≤ 2= 4以及Arcoya和Villegas [1]对<$2 = 4获得了这种类型的非线性。在这里，我们使用无限维莫尔斯理论改进了他们的结果（见[3]）。我们在通常的索伯列夫空间H= H1（0; 1）中应用变分方法（其中范数u=（
670 K. Perera/Nonlinear Analysis 39 (2000) 669–684 this type of nonlinearities have been obtained recently by De Figueiredo and Ruf [4] for 0≤¡ 2= 4 and by Arcoya and Villegas [1] for¿ 2= 4. Here, we improve their results using infinite-dimensional Morse theory (see [3]). We apply variational methods in the usual Sobolev space H= H1 (0; 1)(with the norm u=(