A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS
Mimoun Moussaoui · Americanae (AECID Library) · 2001
We study the solvability of the problem −∆u = f(x, u) + h in Ω; u = 0 on ∂Ω when the nonlinearity f is assumed to lie asymptotically be-tween two non- consecutive eigenvalues of −∆. We show that this problem is nonresonant.