Differential and Integral Equations

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

Marino Badiale, Benedetta Pellacci, and Salvador Villegas

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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.


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