一类带有双临界指数双调和椭圆方程的非平凡解

基金项目:

国家自然科学基金

详细信息

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

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.
- Hardy 项
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.
- Hardy terms