Periodic perturbations of a class of resonant problems |
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Authors: | A Cañada D Ruiz |
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Institution: | (1) Departamento de Análisis Matemático, Universidad de Granada, 18071 Granada, Spain |
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Abstract: | 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.
Received: 31 October 2003, Accepted: 12 July 2004, Published online: 8 February 2005
Mathematics Subject Classification (2000):
34B15, 35B34, 35J20
The authors have been supported by the Ministry of Science and Technology of Spain (BFM2002-02649), and by J. Andalucía (FQM
116) |
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Keywords: | |
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