A quasilinear problem without the Ambrosetti-Rabinowitz-type condition

被引：26

作者：

Iturriaga, Leonelo ^{[1
]}

Lorca, Sebastian ^{[1
]}

Ubilla, Pedro ^{[2
]}

机构：

[1] Univ Tarapaca, Inst Alta Invest, Arica 1000007, Chile

[2] Univ Santiago Chile, Dept Matemat & CC, Santiago, Chile

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2010年 / 140卷

关键词：

ELLIPTIC-EQUATIONS; NATURAL GROWTH; P-LAPLACIAN; EXISTENCE; GRADIENT; MULTIPLICITY;

D O I：

10.1017/S0308210509000432

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of a positive solution of a p-superlinear equation involving the p-Laplacian operator. The main difficulty here is that the nonlinearity considered does Hot necessarily verify the well-known Ambrosetti-Rabinowitz condition. As an application; by performing an adequate change of variables we obtain an existence result of a quasilinear equation depending on the gradient.

引用

页码：391 / 398

页数：8

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