A NOTE ON THE EXISTENCE OF INFINITELY MANY SOLUTIONS FOR THE ONE DIMENSIONAL PRESCRIBED CURVATURE EQUATION

被引：0
|
作者：
Faraci, Francesca [1 ]
机构：
[1] Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria,6, I-95125 Catania, Italy
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2010年 / 55卷 / 04期
关键词：
One dimensional prescribed curvature problem; infinitely many solutions; oscillatory nonlinearity;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper we deal with the one dimensional prescribed curvature equation. We prove, under a suitable oscillatory behaviour at zero of the nonlinearity, the existence of infinitely many solutions. Our approach combines variational techniques with classical regularity results.
引用
收藏
页码：83 / 90
页数：8
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