On a class of critical Robin problems

被引：21

作者：

Leonardi, Salvatore ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

[2] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

来源：

FORUM MATHEMATICUM | 2020年 / 32卷 / 01期

关键词：

Critical term; locally defined reaction; cut-off function; constant sign and nodal solutions; extremal solutions; critical groups; EQUATIONS; CONCAVE;

D O I：

10.1515/forum-2019-0160

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear parametric Robin problem. In the reaction, there are two terms, one critical and the other locally defined. Using cut-off techniques, together with variational tools and critical groups, we show that, for all small values of the parameter, the problem has at least three nontrivial smooth solutions all with sign information, which converge to zero in C-1((Omega) over bar) as the parameter lambda -> 0(+).

引用

页码：95 / 109

页数：15

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