| A NONSMOOTH THEORY FOR A LOGARITHMIC ELLIPTIC EQUATION WITH SINGULAR NONLINEARITY |
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| 作者姓名： | 雷春雨 廖家锋 储昌木 索洪敏 |
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| 作者单位： | 1. School of Sciences,GuiZhou Minzu University;2. College of Mathematics Education,China West Normal University |
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| 基金项目： | supported by Natural Science Foundation of Guizhou Minzu University (20185773-YB03)；;supported by National Natural Science Foundation of China (11861021);supported by National Natural Science Foundation of China (11661021)； |
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| 摘 要： | We consider the logarithmic elliptic equation with singular nonlinearity ■ where Ω?RN（N≥3） is a bounded domain with a smooth boundary,0 <γ <1 and λ is a positive constant.By using a variational method and the critical point theory for a nonsmooth functional,we obtain the existence of two positive solutions.This result generalizes and improves upon recent results in the literature.
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