FOURTH-ORDER ELLIPTIC PROBLEMS INVOLVING CONCAVE-SUPERLINEAR NONLINEARITIES

被引：9

作者：

Silva, Edcarlos D. ^{[1
]}

Cavalcante, Thiago R. ^{[2
]}

机构：

[1] Univ Fed Goias UFG, Inst Matemat & Estatist, BR-74001970 Goias, GO, Brazil

[2] Univ Fed Tocantins UFT, Dept Matemat, BR-77330000 Tocantins, TO, Brazil

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2022年 / 60卷 / 02期

关键词：

Fourth– order elliptic problems; variational methods; concave-superlinear elliptic problems; nonquadraticity condition; SIGN-CHANGING SOLUTIONS; POSITIVE SOLUTIONS; TRAVELING WAVES; BOUNDARY; AMBROSETTI; EQUATIONS; OSCILLATIONS;

D O I：

10.12775/TMNA.2022.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of solutions for a huge class of superlinear ellip-tic problems involving fourth-order elliptic problems defined on bounded domains under Navier boundary conditions is established. To this end we do not apply the well-known Ambrosetti-Rabinowitz condition. Instead, we assume that the nonlinear term is nonquadratic at infinity. Further-more, the nonlinear term is a concave-sup erlinear function which can be indefinite in sign. In order to apply variational methods we employ some delicate arguments recovering some kind of compactness.

引用

页码：581 / 600

页数：20

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