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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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

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

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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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