We consider sign changing solutions of the equation -Delta(m)(u) = |u|(p-1) u in possibly unbounded domains or in R-N. We prove Liouville type theorems for stable solutions or for solutions which are stable outside a compact set. The results hold true for in > 2 and in - 1 < P < pc(N, m). Here pc(N, m) is a new critical exponent, which is infinity in low dimension and is always larger than the classical critical one. (C) 2008 Elsevier Masson SAS. All rights reserved.
Damascelli, L., Farina, A., Sciunzi, B., Valdinoci, E. (2009). Liouville results for m-Laplace equations of Lane-Emden-Fowler type, 26(4), 1099-1119 [10.1016/j.anihpc.2008.06.001].
Liouville results for m-Laplace equations of Lane-Emden-Fowler type
DAMASCELLI, LUCIO;VALDINOCI, ENRICO
2009-01-01
Abstract
We consider sign changing solutions of the equation -Delta(m)(u) = |u|(p-1) u in possibly unbounded domains or in R-N. We prove Liouville type theorems for stable solutions or for solutions which are stable outside a compact set. The results hold true for in > 2 and in - 1 < P < pc(N, m). Here pc(N, m) is a new critical exponent, which is infinity in low dimension and is always larger than the classical critical one. (C) 2008 Elsevier Masson SAS. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.