Liouville theorems for stable solutions of biharmonic problem
نویسندگان
چکیده
منابع مشابه
Liouville theorems for stable solutions of biharmonic problem
We prove some Liouville type results for stable solutions to the biharmonic problem ∆u = u, u > 0 in R where 1 < q < ∞. For example, for n ≥ 5, we show that there are no stable classical solution in R when n+4 n−4 < q ≤ ( n−8 n )−1 + .
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2012
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-012-0894-x