Advances in Differential Equations

Systems of singular Poisson equations in unbounded domains

Fabrice Colin and Marlène Frigon

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Abstract

We establish the existence of nontrivial solutions to systems of singular Poisson equations in unbounded domains, under some invariance conditions and singular subcritical growth. The proofs rely on a concentration-compactness argument and on a generalized linking theorem due to Krysewski and Szulkin.

Article information

Source
Adv. Differential Equations Volume 10, Number 9 (2005), 1035-1052.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867816

Mathematical Reviews number (MathSciNet)
MR2161758

Zentralblatt MATH identifier
1161.35009

Subjects
Primary: 35J50: Variational methods for elliptic systems
Secondary: 35J60: Nonlinear elliptic equations

Citation

Colin, Fabrice; Frigon, Marlène. Systems of singular Poisson equations in unbounded domains. Adv. Differential Equations 10 (2005), no. 9, 1035--1052. https://projecteuclid.org/euclid.ade/1355867816.


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