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,2020,(4):429~448
RN上一类拟线性椭圆型方程广义解的多重性
Multiplicity of Generalized Solutions for a Class of Quasilinear Elliptic Equations in RN
Received:March 05, 2018  Revised:May 19, 2020
DOI:10.16205/j.cnki.cama.2020.0030
中文关键词:  广义解, 下半连续泛函, 不光滑临界点理论
英文关键词:Generalized solutions, Lower semicontinuous functional, Nonsmooth critical point theory
基金项目:国家自然科学基金(No.11171220)
Author NameAffiliation
JIA Gao College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China. 
CHEN Jie Xiangyifurong Second Middle School, Changsha 410016, China. 
ZHANG Longjie Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo 153-8914, Japan. 
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中文摘要:
      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.
英文摘要:
      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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