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一类具有临界增长的多重调和椭圆系统解的存在性

Existence of Solution for a Class of Critical Growth Polyharmonic Elliptic Systems
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摘要 利用变分法和特征函数研究带临界指标的多重调和半线性椭圆方程组,给出了在临界维和非临界维下此类方程组解的存在性的两个定理. We cosider a class of semilinear elliptic systems for the polyharmonic operator having a critical growth nonlinearity by using variational methods and Eigenfunction, two existence theorem are proved for critical and non-critical dimension.
作者 杜刚
出处 《喀什师范学院学报》 2008年第6期3-5,共3页 Journal of Kashgar Teachers College
关键词 变分法 临界指标 多重调和系统 特征函数 Variational methods Critical sobolev exponents Polyharmonic elliptic systems Eigenfunction
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参考文献5

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  • 5杜刚,邓勇.一类具有临界增长的多重调和椭圆系统解的存在和非存在性[J].四川师范大学学报(自然科学版),2008,31(2):198-201. 被引量:2

二级参考文献9

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