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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2013 Volume 283, Pages 9–24 (Mi tm3516)
This article is cited in 13 papers

Entire solutions of quasilinear elliptic systems on Carnot groups

Lorenzo D'Ambrosioa, Enzo Mitidierib

a Dipartimento di Matematica, Università degli Studi di Bari, Bari, Italy
b Dipartimento di Matematica e Geoscienze, Università degli Studi di Trieste, Trieste, Italy

Abstract: 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.

UDC: 517.9

Received in September 2012

Language: English

DOI: 10.1134/S037196851304002X


 English version: Proceedings of the Steklov Institute of Mathematics, 2013, 283, 3–19

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© Steklov Math. Inst. of RAS, 2025