TY - JOUR T1 - Nonlinear resonance: a comparison between Landesman-Lazer and Ahmad-Lazer-Paul conditions JF - Advanced Nonlinear Studies Y1 - 2011 A1 - Alessandro Fonda A1 - Maurizio Garrione AB -

We show that the Ahmad-Lazer-Paul condition for resonant problems is more general than the Landesman-Lazer one, discussing some relations with other existence conditions, as well. As a consequence, such a relation holds, for example, when considering resonant boundary value problems associated with linear elliptic operators, the p-Laplacian and, in the scalar case, with an asymmetric oscillator.

PB - Advanced Nonlinear Studies, Inc. VL - 11 ER -