@article{Cao2024, 
author = {Jingyue Cao and Yunkang Shao and Fangshu Wan and Jiaqi Wang and Yifei Zhu},
title = {Nonradial singular solutions for elliptic equations with exponential nonlinearity},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {5},
pages = {3171-3201},
keywords = {nonradial singular solutions, asymptotic expansions, exponential nonlinearity, weighted spaces},
url = {https://www.sciopen.com/article/10.3934/era.2024146},
doi = {10.3934/era.2024146},
abstract = {For any    R  >  0, infinitely many nonradial singular solutions can be constructed for the following equation:     −  Δ  u  =      e    u          in        B    R    ∖  {  0  }  ,              (  0.1  )where        B    R    =  {  x  ∈            R        N      (  N  ≥  3  )  :        |    x      |    <  R  }. To construct nonradial singular solutions, we need to consider asymptotic expansion at the isolated singular point    x  =  0 of a prescribed solution of (0.1). Then, nonradial singular solutions of (0.1) can be constructed by using the asymptotic expansion and introducing suitable weighted Hölder spaces.}
}