| 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,2020,41(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 |
| 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) |
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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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