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.
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(Communicated by Shi-qiang DAI)
Project supported by the National Natural Science Foundation of China (No. 10671070), the Fund for E-Institute of Shanghai Universities (No. E03004), and the Open Research Fund Program of LGISEM (No. 05PJ14040)
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Ni, Mk., Lin, Wz. Minimizing sequences of variational problems with small parameters. Appl. Math. Mech.-Engl. Ed. 30, 695–701 (2009). https://doi.org/10.1007/s10483-009-0603-z
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DOI: https://doi.org/10.1007/s10483-009-0603-z