A new proof of Dávila-Flores-Guerra’s result on existence of singular solutions

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• 作者：Baishun Lai ; ^{laibaishun@henu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Jing Wang
• 关键词：Biharmonic equation ; Singular solution ; Existence
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：33
• 期：Complete
• 页码：33-39
• 全文大小：543 K

文摘

Here we give a self-contained new proof of the existence of singular solutions to a class Dirichlet problem with a singular nonlinearity. These results were obtained by Dávila–Flores–Guerra (Dávila et al., 2009). Our proof is much more direct and simpler.