On the Fucik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition

被引：17

作者：

Martinez, SR

Rossi, JD

机构：

[1] Catholic Univ Chile, Dept Mat, Santiago, Chile

[2] UBA, FCEyN, Dept Mat, RA-1428 Buenos Aires, DF, Argentina

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 59卷 / 06期

关键词：

p-Laplacian; nonlinear boundary conditions; resonance;

D O I：

10.1016/j.na.2004.07.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove that there exists a first curve of the Fucik spectrum of the problem Deltapu = \u\(p-2)u in Omega with a nonlinear boundary condition given by \delu\(p-2)partial derivativeu/partial derivativev=alpha(u(+))(p-1)-beta(u(-))(p-1) on the boundary of the domain. We also prove that there exists a sequence of curves of the Fucik spectrum which exist locally in the neighborhood of suitable eigenvalues of the p-Laplacian with a nonlinear boundary condition. Finally, we study a resonance problem with respect to the Fucik spectrum. (C) 2004 Published by Elsevier Ltd.

引用

页码：813 / 848

页数：36

共 32 条

[1] On the counting of the Fucik curves [J].