Liouville theorems for stable solutions of biharmonic problem
نویسندگان
چکیده
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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