A nonresonance condition for radial solutions of a nonlinear Neumann elliptic problem

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). Our approach also applies for nonlinearities which do not necessarily satisfy a subcritical growth assumption.



Titolo: A nonresonance condition for radial solutions of a nonlinear Neumann elliptic problem
Autori: 
SFECCI, ANDREA
Data di pubblicazione: 2012
Rivista: 
NONLINEAR ANALYSIS  
Abstract: 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). Our approach also applies for nonlinearities which do not necessarily satisfy a subcritical growth assumption.
Handle: http://hdl.handle.net/11368/2706240
Appare nelle tipologie:1.1 Articolo in Rivista

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