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.
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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Existence of nontrival Solutions for a biharmonic elliptic equation involving double critical exponents[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(2): 100-104.
Citation: Existence of nontrival Solutions for a biharmonic elliptic equation involving double critical exponents[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(2): 100-104.
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一类带有双临界指数双调和椭圆方程的非平凡解

Existence of nontrival Solutions for a biharmonic elliptic equation involving double critical exponents

    摘要
  • 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.

     

    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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