On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity

被引：29

作者：

Esposito, Pierpaolo

Musso, Monica

Pistoia, Angela

机构：

[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat, I-00100 Rome, Italy

[3] Pontificia Univ Catolica Chile, Dept Matemat, Santiago, Chile

[4] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2007年 / 94卷

关键词：

D O I：

10.1112/plms/pdl020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of nodal solutions to the boundary value problem -Delta u = \u\(p-1)u in a bounded, smooth domain Omega in R-2, with homogeneous Dirichlet boundary condition, when p is a large exponent. We prove that, for p large enough, there exist at least two pairs of solutions which change sign exactly once and whose nodal lines intersect the boundary of Omega.

引用

页码：497 / 519

页数：23

共 16 条

[1] Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains [J].