Periodic perturbations of a class of resonant problems

被引：0

作者：

A. Cañada

D. Ruiz

机构：

[1] Universidad de Granada,Departamento de Análisis Matemático

来源：

Calculus of Variations and Partial Differential Equations | 2005年 / 23卷

关键词：

Boundary Condition; System Theory; Variational Method; Periodic Function; Dirichlet Boundary;

D O I：

暂无

中图分类号：

学科分类号：

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：19

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