| 含有Hardy-Sobolev临界指标的奇异拟线性椭圆系统在无界外区域的无穷多解 |
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| 引用本文： | 徐倩,陈才生.含有Hardy-Sobolev临界指标的奇异拟线性椭圆系统在无界外区域的无穷多解[J].江南大学学报(自然科学版),2014,13(4):495-501. |
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| 作者姓名： | 徐倩 陈才生 |
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| 作者单位： | 河海大学理学院,江苏南京,210098 |
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| 摘 要： | 文中研究一类奇异p-Laplacian方程组在无界域上解的存在性。方程组中的非线性项含有Hardy-Sobolev临界指标项。利用变分方法,证明了这类问题解存在无穷多个解。
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| 关 键 词： | 奇异拟线性椭圆方程组 变分法 Hardy-Sobolev临界指标 无界外区域 集中紧性原理 |
Infinitely Many Solutions for Singular Quasilinear Elliptic Systems Involving the Critical Hardy-Sobolev Exponents on an Unbounded Exterior Domain |
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| XU Qian,CHEN Caisheng.Infinitely Many Solutions for Singular Quasilinear Elliptic Systems Involving the Critical Hardy-Sobolev Exponents on an Unbounded Exterior Domain[J].Journal of Southern Yangtze University:Natural Science Edition,2014,13(4):495-501. |
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| Authors: | XU Qian CHEN Caisheng |
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| Institution: | 1.College of Science, Hohai University, Nanjing 210098, China;) |
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| Abstract: | In this paper,we study a class of singular quasilinear elliptic systems involving the p-Laplacian operator on an unbounded exterior domain.The right-hand sides of systems are closely related to the critical Hardy-Sobolev exponents.Under some additional assumptions on the nonlinearities,we use the variational methods to prove the existence of infinitely many solutions. |
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| Keywords: | singular quasilinear elliptic systems variational method critical Hardy-Sobolev exponent unbounded exterior domain concentration-compactness principle |
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