Universitat Autònoma de Barcelona
The authors are members of INdAM/GNAMPA. The second author is supported by the Australian Research Council Discovery Project 170104880 NEW "Nonlocal Equations at Work".
We obtain symmetry results for solutions of an elliptic system of equationpossessing a cooperative structure. The domain in which the problem is set maypossess "holes" or "small vacancies" (measured in terms of capacity) along which thesolution may diverge.The method of proof relies on the moving plane technique, which needs to besuitably adapted here to take care of the complications arising from the vacancies inthe domain and the analytic structure of the elliptic system.
English
Elliptic systems; Moving plane method; Symmetry of solutions
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Publicacions matemàtiques ; Vol. 64 Núm. 2 (2020), p. 621-652
open access
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