A symmetry result for cooperative elliptic systems with singularities

Stefano Biagi, Enrico Valdinoci, Eugenio Vecchi

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We obtain symmetry results for solutions of an elliptic system of equation possessing a cooperative structure. The domain in which the problem is set may possess "holes" or "small vacancies" (measured in terms of capacity) along which the solution may diverge. The method of proof relies on the moving plane technique, which needs to be suitably adapted here to take care of the complications arising from the vacancies in the domain and the analytic structure of the elliptic system.

Original languageEnglish
Pages (from-to)621-652
Number of pages32
JournalPublicacions Matematiques
Issue number2
Publication statusPublished - 1 Jan 2020


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