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 "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.
S. Biagi, E. Valdinoci, E. Vecchi (2020). A symmetry result for cooperative elliptic systems with singularities. PUBLICACIONS MATEMÀTIQUES, 64(2), 621-652 [10.5565/PUBLMAT6422010].
A symmetry result for cooperative elliptic systems with singularities
E. Vecchi
2020
Abstract
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 "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.| File | Dimensione | Formato | |
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