Resonant semilinear Robin problems with a general potential

被引：6

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

Repovs, Dusan D. ^{[4
,5
]}

机构：

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

[2] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

[3] Univ Craiova, Dept Math, Craiova 200585, Romania

[4] Univ Ljubljana, Fac Educ, Ljubljana 1000, Slovenia

[5] Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, Slovenia

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2017年 / 70期

关键词：

resonant problem; reduction method; regularity theory; indefinite and unbounded potential; local linking; MULTIPLE SOLUTIONS; NEUMANN PROBLEMS; ELLIPTIC-EQUATIONS; INDEFINITE; SIGN; NONLINEARITY; POINTS;

D O I：

10.14232/ejqtde.2017.1.70

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. The reaction term is a Caratheodory function which is resonant with respect to any nonprincipal eigenvalue both at +/-infinity and 0. Using a variant of the reduction method, we show that the problem has at least two nontrivial smooth solutions.

引用

页码：1 / 15

页数：15

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