Multiple solutions for a perturbed system on strip-like domains

Alexandru Kristály; Ildikó-Ilona Mezei

doi:10.3934/dcdss.2012.5.789

Article Contents

2012, Volume 5, Issue 4: 789-796. Doi: 10.3934/dcdss.2012.5.789

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Multiple solutions for a perturbed system on strip-like domains

Alexandru Kristály^1, and
Ildikó-Ilona Mezei^2,

1.
Department of Economics, Babeş-Bolyai University, Cluj-Napoca, str. Teodor Mihali, nr. 58-60, 400591
2.
Department of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, str. M. Kogâlniceanu, nr. 1, 400584

Received: January 31, 2011

Revised: February 28, 2011

Published: July 2012

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Abstract

We prove a multiplicity result for a perturbed gradient-type system defined on strip-like domains. The approach is based on a recent Ricceri-type three critical point theorem.

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Mathematics Subject Classification: Primary: 35J65, 35J50; Secondary: 35P30.

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References

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