By using Green function, the boundary integral formula and natural boundary integral equation for the boundary value problems of biharmonic equation were obtained.
利用Green函数,根据双调和方程边值问题的边界积分公式和自然边界积分方程。
According to the nature of two-dimensional biharmonic equations, this paper obtains a polynomial solution of the biharmonic equation for stress function by means of the MATHEMATICA software.
根据二维双调和方程的特点并借助于MATHEMATICA软件,得到了应力函数双调和方程的多项式解答。
Abstr: In this paper, by using variational method and concentration-compactness principle, infinitely many solutions are obtained for a class of biharmonic equation with singular potential.
文章摘要:本文利用集中紧性原理和变分方程对奇异双调和方程进行研究,通过截断技术和分析技巧得到了该问题无穷多个解的存在性。