Entire solutions of quasilinear elliptic systems on Carnot groups
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 9-24

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We prove general a priori estimates of the solutions of a class of quasilinear elliptic systems on Carnot groups. As a consequence, we obtain several nonexistence theorems. The results are new even in the Euclidean setting.
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     author = {Lorenzo D'Ambrosio and Enzo Mitidieri},
     title = {Entire solutions of quasilinear elliptic systems on {Carnot} groups},
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     year = {2013},
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Lorenzo D'Ambrosio; Enzo Mitidieri. Entire solutions of quasilinear elliptic systems on Carnot groups. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 9-24. http://geodesic.mathdoc.fr/item/TM_2013_283_a1/