Elliptic problems on \(\mathbf R^N\) with jumping nonlinearities: Perturbation results. (English) Zbl 0989.35050

Badiale, Marino; Pellacci, Benedetta; Villegas, Salvador

Differ. Integral Equ. 13, No. 7-9, 837-868 (2000).

The authors study semilinear problems of the type \(-\Delta u=f(u)+h(x)\) which are perturbations of a linear problem at resonance. By adopting a recent perturbative method, many results for bounded domains are extended to \({\mathbb{R}}^N.\)

Reviewer: Dian K.Palagachev (Bari)

MSC:

35J60	Nonlinear elliptic equations
35B20	Perturbations in context of PDEs

Keywords:

linear problem at resonance