| 含临界位势与临界参数的超线性椭圆型方程 |
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| 引用本文： | 王江潮,张贻民. 含临界位势与临界参数的超线性椭圆型方程[J]. 应用数学, 2011, 24(4) |
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| 作者姓名： | 王江潮 张贻民 |
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| 作者单位： | 中国科学院武汉物理与数学研究所,湖北武汉,430071 |
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| 基金项目： | 国家自然科学基金资助(10801132);国家自然科学基金资助(11001261) |
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| 摘 要： | 本文考虑一类含临界位势与临界参数的超线性椭圆型方程解的存在性.本文应用Morse理论,考虑非线性项f(x,s)在零点附近以及无穷远处的性质,给出了方程在某个新的Sobolev-Hardy空间中解的存在性.
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| 关 键 词： | 临界位势 临界参数 Morse理论 Sobolev-Hardy空间 |
Superlinear Elliptic Equations Involving Critical Potential and Critical Parameter |
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| WANG Jiangchao , ZHANG Yimin. Superlinear Elliptic Equations Involving Critical Potential and Critical Parameter[J]. Mathematica Applicata, 2011, 24(4) |
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| Authors: | WANG Jiangchao ZHANG Yimin |
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| Affiliation: | WANG Jiangchao,ZHANG Yimin (Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,PO Box 71010,Wuhan 430071,China) |
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| Abstract: | In this paper,we consider the existence of solutions for a class of superlinear elliptic equations involving critical potential and critical parameter.In this paper,by means of Morse theory,we prove the existence of non-trivial solutions of equations in a new Sobolev-Hardy space,when non-linear term f(x,s) has some conditions in the origin and in infinite. |
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| Keywords: | Critical potential Critical parameter Morse theory Sobolev-Hardy space |
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