On a degree associated with the Gross-Pitaevskii system with a large parameter

E. Norman Dancer

doi:10.3934/dcdss.2019120

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2019, Volume 12, Issue 7: 1835-1839. Doi: 10.3934/dcdss.2019120

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On a degree associated with the Gross-Pitaevskii system with a large parameter

E. Norman Dancer^1,

School of Mathematics and Statistics, University of Sydney, Sydney, NSW, Australia

Received: October 31, 2017

Revised: June 30, 2018

Published: June 2019

Partially supported by the Australian Research Council

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Abstract

In a number of cases we calculate the sum of the degrees of the small positive solutions of the Gross-Pitaevskii system when the interaction is strong.

Keywords:

Large interaction,
degree calculations.

Mathematics Subject Classification: Primary: 35B65.

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References

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