带有小参数变分问题的极小化序列

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基金项目: 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)

Minimizing Sequence of Variational Problems With Small Parameters

1.
Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China;

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．
- 小参数 /
- 变分问题 /
- 极小化序列
Abstract: 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.
- small parameter /
- variational problem /
- minimizing sequence

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