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.
Citation:
Lorenzo D'Ambrosio, Enzo Mitidieri, “Entire solutions of quasilinear elliptic systems on Carnot groups”, Function theory and equations of mathematical physics, Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth, Trudy Mat. Inst. Steklova, 283, MAIK Nauka/Interperiodica, Moscow, 2013, 9–24; Proc. Steklov Inst. Math., 283 (2013), 3–19