摘要
针对一类含有小参数的变分问题构造了零次渐近解,并证明了当小参数趋向于0时,该零次渐近解就是原问题的极小化序列.
A class of variational problems with small parameters had been studied. A zeroth order asymptotic solution of which was constructed. It was proved that the zeroth-order asymptotic solution is the minimizing sequence of variational problems when the small parameter approaches to zero.
出处
《应用数学和力学》
CSCD
北大核心
2009年第6期648-654,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10671070)
上海市教育委员会E-研究院建设资助项目(E03004)
上海市重点学科建设资助项目(B407)
关键词
小参数
变分问题
极小化序列
small parameter
variational problem
minimizing sequence
