节点文献
具临界指数及奇异性的双调和方程解的存在性
Existence of Solution for a Singular Biharmonic Equation Involving Critical Exponent
【摘要】 文中考虑了下面带奇异项的双调和方程其中0∈Ω为RN,N≥5中的有界区域,0≤α,s<4,2<q<2*(s)=(2(N-s))/(N-4),g(x),k(x)为非负函数,借助变分方法及嵌入映射D2,2(RN)→L2*(RN)的达到函数,通过较精密的计算,得到了上面方程解的存在性结果.
【Abstract】 In this paper,the authors present a result on existence to the following singular biharmonic equation involving singular terms where Ω is a bounded domain containing origin,ΩRN,N≥5,0≤α,s<4,2<q<2*(s)=(2(N-s))/(N-4),and g(x),k(x) are nonnegative functions,the existence of solution is shown by variational method,the acquired function for the imbedding mapping D2,2(RN) ■ L2*(RN) plays an important role in the discussion.
【基金】 国家自然科学基金(10471052)资助
- 【文献出处】 数学物理学报 ,Acta Mathematica Scientia , 编辑部邮箱 ,2009年06期
- 【分类号】O175.23
- 【被引频次】3
- 【下载频次】76