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含奇异项与临界项的非线性椭圆方程

Nonlinear Elliptic Equation with Singular and Critical Terms
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摘要 主要研究了含临界项与奇异项的拟线性椭圆方程,通过证明一个强极值原理,结合集中紧性原理,克服了非线性算子带来的困难,最终获得了正解的存在性. Quasihnear elliptic equation with critical and singular terms has been studied,the difficulty with nonliear operator is overcome by proving a strong maximum principle and the concentration compactness principle,finally,the positive solution is obtained.
作者 柳彦军 张伟 蔡银英
机构地区 重庆第二师范学院数学与信息工程系
出处 《应用泛函分析学报》 2015年第3期262-269,共8页 Acta Analysis Functionalis Applicata
基金 国家自然科学基金(11101337) 重庆市教委科研项目(KJ1501407)
关键词 奇异椭圆方程 不可微泛函 强极值原理 集中紧性原理 singular elliptic equations non-differential functional strong maximum principle concentration compactness principle
分类号 O177.91 [理学—基础数学]
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参考文献12

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二级参考文献13

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应用泛函分析学报
2015年 第3期

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