The Lane-Emden Function and Nonlinear Eigenvalues Problems
نویسندگان
چکیده
منابع مشابه
Liouville theorems for stable Lane-Emden systems and biharmonic problems
We examine the elliptic system given by −∆u = v, −∆v = u, in R , (1) for 1 < p ≤ θ and the fourth order scalar equation ∆u = u, in R , (2) where 1 < θ. We prove various Liouville type theorems for positive stable solutions. For instance we show there are no positive stable solutions of (1) (resp. (2)) provided N ≤ 10 and 2 ≤ p ≤ θ (resp. N ≤ 10 and 1 < θ). Results for higher dimensions are also...
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ژورنال
عنوان ژورنال: Annales de la faculté des sciences de Toulouse Mathématiques
سال: 2009
ISSN: 0240-2963
DOI: 10.5802/afst.1218