On the existence and blow-up of solutions for a mean field equation with variable intensities
On the existence and blow-up of solutions for a mean field equation with variable intensities
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DOI：
10.4171/rlm/741
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发表时间：
2015-09
期刊：
影响因子：
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通讯作者：
T. Ricciardi;Ryo Takahashi;Gabriella Zecca;X. Zhang
中科院分区：
文献类型：
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作者：
T. Ricciardi;Ryo Takahashi;Gabriella Zecca;X. Zhang
研究了一类描述变强度点涡统计力学平衡的指数非线性椭圆问题。对于适当的物理参数值，我们排除存在的边界上的爆破点，我们证明了一个质量量子化的属性，我们将我们的分析，以建设极大极小的解决方案。
We study an elliptic problem with exponential nonlinearities describing the statistical mechanics equilibrium of point vortices with variable intensities. For suitable values of the physical parameters we exclude the existence of blow-up points on the boundary, we prove a mass quantization property and we apply our analysis to the construction of minimax solutions.