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.
Liouville results for m-Laplace equations of Lane-Emden-Fowler type
B. Sciunzi;
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.File in questo prodotto:
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