Special Session 86: 
On the generalized Henon-Lane-Emden conjecture in R^2 and R^3
kui li
Zhengzhou university
Peoples Rep of China
Co-Author(s):    Pro. Xiyou Cheng and Pro. Zhitao Zhang
Abstract:
In this talk, we study the generalized H\`{e}non-Lane-Emden elliptic systems in \mathbb{R}^N. We show that if the pair of exponents is subcritical, then this system has no positive solutions for N=2 and no bounded positive solutions for N=3.
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