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.
2009
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
Critical exponents; Degenerate PDEs; Rigidity results; Stable solutions
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].
Damascelli, L; Farina, A; Sciunzi, B; Valdinoci, E
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/26771
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