Gaeta 2004. Elliptic Resonant Problems with a Periodic Nonlinearity

  • A. Cañada
  • D. Ruiz
Chapter
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 63)

Abstract

We study the existence of solution for a nonlinear PDE problem at resonance under Dirichlet boundary conditions. The nonlinear term considered comes from a periodic function: in particular, the problem is strongly resonant at infinity. In our proofs we shall use variational methods together with some asymptotic analysis.

Keywords

Dirichlet boundary value problems resonance periodic nonlinearities variational methods asymptotics Palais-Smale condition 
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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2005

Authors and Affiliations

  • A. Cañada
    • 1
  • D. Ruiz
    • 1
  1. 1.Departamento de Análisis MatemáticoUniversidad de GranadaGranadaSpain

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