Periodic perturbations of a class of resonant problems

被引：3

作者：

Cañada, A ^{[1
]}

Ruiz, D ^{[1
]}

机构：

[1] Univ Granada, Dept Anal Matemat, E-18071 Granada, Spain

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 23卷 / 03期

关键词：

D O I：

10.1007/s00526-004-0301-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of solution for nonlinear problems at resonance under Dirichlet boundary conditions. We deal with PDE's as well as systems of ODE's. The nonlinear terms considered are periodic functions: in particular, the problem is strongly resonant at infinity. By means of variational methods, we prove nondegeneracy under some hypotheses on the nonlinearities.

引用

页码：281 / 300

页数：20

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