We study the symmetry properties for solutions of elliptic systems of the type [eqution presnted] We obtain a Poincaré-type formula for the solutions of the system and we use it to prove a symmetry result both for stable and for monotone solutions.
Symmetry results for stable and monotone solutions to fibered systems of PDEs / S. Dipierro, A. Pinamonti. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 17:4(2015), pp. 1450035.1-1450035.22. [10.1142/S0219199714500357]
Symmetry results for stable and monotone solutions to fibered systems of PDEs
S. DipierroPrimo
;
2015
Abstract
We study the symmetry properties for solutions of elliptic systems of the type [eqution presnted] We obtain a Poincaré-type formula for the solutions of the system and we use it to prove a symmetry result both for stable and for monotone solutions.
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