TY - JOUR T1 - A nonresonance condition for radial solutions of a nonlinear Neumann elliptic problem JF - Nonlinear Analysis: Theory, Methods & Applications Y1 - 2012 A1 - Andrea Sfecci KW - Neumann problem KW - Nonresonance KW - Radial solutions KW - Time-map AB -

We prove an existence result for radial solutions of a Neumann elliptic problem whose nonlinearity asymptotically lies between the first two eigenvalues. To this aim, we introduce an alternative nonresonance condition with respect to the second eigenvalue which, in the scalar case, generalizes the classical one, in the spirit of Fonda et al. (1991) [2]. Our approach also applies for nonlinearities which do not necessarily satisfy a subcritical growth assumption.

VL - 75 UR - http://www.sciencedirect.com/science/article/pii/S0362546X12002659 ER -