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

页码：83 / 90

页数：8

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