Resumen de A nonresonance between non-consecutive eigenvalues of semilinear elliptic equations: Variational methods

Mimoun Moussaoui

• We study the solvability of the problem −∆u = f(x, u) + h in Ω ; u = 0 on ∂Ωwhen the nonlinearity f is assumed to lie asymptotically between two non- consecutive eigenvalues of −∆. We show that this problem is nonresonant.