一类带有双临界指数双调和椭圆方程的非平凡解 |
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引用本文: | 张玉灵,曹万林.一类带有双临界指数双调和椭圆方程的非平凡解[J].华南师范大学学报(自然科学版),2018,50(2):100-104. |
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作者姓名: | 张玉灵 曹万林 |
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作者单位: | 1.1.郑州升达经贸管理学院 |
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摘 要: | 研究了一类带有双临界指数双调和椭圆方程,利用变分法及嵌入映射 的达到函数,找到满足局部Palais-Smale(简称 )条件的序列 ,通过较精密的计算,得到该序列收敛到方程的非平凡弱解.
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关 键 词: | Hardy 项 |
收稿时间: | 2016-05-03 |
Existence of nontrival Solutions for a biharmonic elliptic equation involving double critical exponents |
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Abstract: | A class of biharmonic elliptic equations with double critical exponent is studied. By using the variational method and the function of the embedded mapping of , the sequence {un} satisfying the local Palais-Smale (PSc) condition is found. The sequence converges to the nontrivial weak solution of the equation by accurate calculation. |
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