Exact growth at infinity for radial solutions of $\Delta^{3} u + u^{-q} = 0$ in $\mathbb{R}^3$
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  • Exact growth at infinity for radial solutions of $\Delta^{3} u + u^{-q} = 0$ in $\mathbb{R}^3$

Exact growth at infinity for radial solutions of $\Delta^{3} u + u^{-q} = 0$ in $\mathbb{R}^3$

Thời gian: 14:00 đến 16:00 Ngày 13/01/2017

Địa điểm: C2-714

Tóm tắt:

We prove that the condition  q>1/2  is necessary for the existence of radial solutions. Then we prove that any radially symmetric solution grows at least cubically and at most quartically at infinity for any q>1/2.