A Variational Approach for One-Dimensional Scalar Field Problems

被引：1
|
作者：
Hadjian, Armin [1 ]
机构：
[1] Univ Bojnord, Fac Basic Sci, Dept Math, POB 1339, Bojnord 94531, Iran
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2018年 / 49卷 / 04期
关键词：
One-dimensional scalar field problem; variational methods; infinitely many solutions; EQUATIONS;
D O I：
10.1007/s13226-018-0290-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are interested in the existence of infinitely many weak solutions for a onedimensional scalar field problem. By using variational methods, in an appropriate functional space which involves the potential V, we determine intervals of parameters such that our problem admits either a sequence of weak solutions strongly converging to zero provided that the nonlinearity has a suitable behavior at zero or an unbounded sequence of weak solutions if a similar behavior occurs at infinity.
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页码：621 / 632
页数：12
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