## Differential and Integral Equations

### Elliptic problems on $\mathbbR^N$ with jumping nonlinearities: perturbation results

#### Abstract

In this paper we study a class of nonlinear elliptic problems in $\mathbb R^N$, where the nonlinearity is of "jumping" type. The problems we study are perturbations of a linear problem at resonance. We use a perturbative method recently developed, and we get results which generalize to the case of an unbounded domain some of the theorems previously known for bounded domains.

#### Article information

Source
Differential Integral Equations Volume 13, Number 7-9 (2000), 837-868.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356061201

Mathematical Reviews number (MathSciNet)
MR1775237

Zentralblatt MATH identifier
0989.35050

Subjects
Primary: 35J60: Nonlinear elliptic equations
Secondary: 35B20: Perturbations

#### Citation

Badiale, Marino; Pellacci, Benedetta; Villegas, Salvador. Elliptic problems on $\mathbbR^N$ with jumping nonlinearities: perturbation results. Differential Integral Equations 13 (2000), no. 7-9, 837--868.https://projecteuclid.org/euclid.die/1356061201