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	A truncation method for detecting singular minimizers involving the Lavrentiev phenomenon
	Bai, Y ; Li, ZP
	2006
关键词	truncation method singular minimizer Lavrentiev phenomenon minimizing sequence convergence ELEMENT REMOVAL METHOD VARIATIONAL-PROBLEMS NUMERICAL-METHOD CALCULUS
英文摘要	A numerical method using the truncation technique on the integrand is developed for computing singular minimizers or singular minimizing sequences in variational problems involving the Lavrentiev phenomenon. It is proved that the method can detect absolute minimizers with various singularities whether the Lavrentiev phenomenon is involved or not. It is also proved that, when the absolute infimum is not attainable, the method can produce minimizing sequences. Numerical results on Mania's example and a two-dimensional problem involving the Lavrentiev phenomenon with continuous Sobolev exponent dependence, are given to show the efficiency of the method.; Mathematics, Applied; SCI(E); 3; ARTICLE; 6; 847-867; 16
语种	英语
出处	SCI
出版者	mathematical models methods in applied sciences
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/398649]
专题	数学科学学院
推荐引用方式 GB/T 7714	Bai, Y,Li, ZP. A truncation method for detecting singular minimizers involving the Lavrentiev phenomenon. 2006-01-01.

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