Minimizing sequences of variational problems with small parameters

Ming-Kang NI;Wu-Zhong LIN

doi:10.1007/s10483-009-0603-z

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 6: 695 - 701

DOI: https://doi.org/10.1007/s10483-009-0603-z

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Minimizing sequences of variational problems with small parameters

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1. Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China;
2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU,Shanghai 200030, P. R. China

Received date: 2008-12-28

Revised date: 2009-04-13

Online published: 2009-06-01

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Abstract

A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero.

Key words： small parameter, variational problem, minimizing sequence

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Ming-Kang NI;Wu-Zhong LIN . Minimizing sequences of variational problems with small parameters[J]. Applied Mathematics and Mechanics, 2009 , 30(6) : 695 -701 . DOI: 10.1007/s10483-009-0603-z

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