| RN上一类拟线性椭圆型方程广义解的多重性 |
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| 引用本文： | 贾 高,陈 洁,张龙杰.RN上一类拟线性椭圆型方程广义解的多重性[J].数学年刊A辑(中文版),2020,41(4):429-448. |
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| 作者姓名： | 贾 高 陈 洁 张龙杰 |
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| 作者单位： | 上海理工大学理学院, 上海 200093.;湘一芙蓉第二中学, 长沙 410016.;东京大学数学科学研究生院, 东京 153-8914, 日本. |
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| 基金项目： | 国家自然科学基金(No.11171220) |
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| 摘 要： | 本文在\mathbb{R}^{N上研究一类拟线性椭圆型方程广义解的多重性.借助下半连续泛函的不光滑临界点理论, 得到了方程的解集是无穷和无界的.
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| 关 键 词： | 广义解 下半连续泛函 不光滑临界点理论 |
| 收稿时间： | 2018/3/5 0:00:00 |
| 修稿时间： | 2020/5/19 0:00:00 |
Multiplicity of Generalized Solutions for a Class of Quasilinear Elliptic Equations in RN |
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| JIA Gao,CHEN Jie,ZHANG Longjie.Multiplicity of Generalized Solutions for a Class of Quasilinear Elliptic Equations in RN[J].Chinese Annals of Mathematics,2020,41(4):429-448. |
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| Authors: | JIA Gao CHEN Jie ZHANG Longjie |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China.;Xiangyifurong Second Middle School, Changsha 410016, China.; Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo 153-8914, Japan. |
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| Abstract: | This paper deals with the multiplicity of generalized solutions for a class of quasilinear elliptic equations in RN . By using an approach of abstract critical point theory for lower semicontinuous functionals, it is proved that the set of solutions is infinite and unbounded. |
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| Keywords: | Generalized solutions Lower semicontinuous functional Nonsmooth critical point theory |
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