The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the p-Laplacian

被引：1

作者：

Mawhin, J ^{[1
]}

机构：

[1] Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2006年 / 8卷 / 02期

关键词：

Ambrosetti-Prodi problem; periodic solutions; upper and lower solutions; topological degree;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an Ambrosetti - Prodi type result for the periodic solutions of the equation (|u'|(p-2)u'))' + f (u) u' + g(x, u) = t, when f is arbitrary and g(x, u) --> + infinity or g(x, u) --> - infinity when | u| --> infinity. The proof uses upper and lower solutions and the Leray - Schauder degree.

引用

页码：375 / 388

页数：14

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