Periodic perturbations of a class of resonant problems

Ca�ada, A.; Ruiz, D.
July 2005
Calculus of Variations & Partial Differential Equations;Jul2005, Vol. 23 Issue 3, p281
Academic Journal
We study the existence of solution for nonlinear problems at resonance under Dirichlet boundary conditions. We deal with PD'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.


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