Superlinear Robin Problems with Indefinite Linear Part

被引：3

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Vetro, Calogero ^{[2
]}

Vetro, Francesca ^{[3
,4
]}

机构：

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

[2] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy

[3] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam

[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 01期

关键词：

Indefinite potential function; Superlinear reaction term; Regularity theory; Critical groups; Three solutions theorem; Robin boundary condition; MULTIPLE SOLUTIONS; AMBROSETTI; EQUATIONS; SIGN;

D O I：

10.1007/s40840-018-0701-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a semilinear Robin problem with an indefinite linear part and a superlinear reaction term, which does not satisfy the usual in such cases AR condition. Using variational methods, together with truncation-perturbation techniques and Morse theory (critical groups), we establish the existence of three nontrivial solutions. Our result extends in different ways the multiplicity theorem of Wang.

引用

页码：537 / 562

页数：26

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