SEMILINEAR NEUMANN EQUATIONS WITH INDEFINITE AND UNBOUNDED POTENTIAL

被引：0

作者：

Aizicovici, Sergiu ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

Staicu, Vasile ^{[3
]}

机构：

[1] Ohio Univ, Dept Math, Athens, OH 45701 USA

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

[3] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat, P-3810193 Aveiro, Portugal

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2016年 / 42卷 / 01期

关键词：

Indefinite and unbounded potential; critical goups; multiple solutions; regularity theory; maximum principle; nodal solutions; ELLIPTIC-EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a semilinear Neumann problem with an indefinite and unbounded potential, and a Caratheodory reaction term. Under asymptotic conditions on the reaction which make the energy functional coercive, we prove multiplicity theorems producing three or four solutions with sign information on them. Our approach combines variational methods based on the critical point theory with suitable perturbation and truncation techniques, and with Morse theory.

引用

页码：307 / 340

页数：34

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