Nonoccurrence of the Lavrentiev phenomenon for many nonconvex constrained variational problems

2006 ◽  
Vol 28 (3) ◽  
pp. 351-381 ◽  
Author(s):  
Alexander J. Zaslavski
Keyword(s):  
Variational Problems ◽  
Lavrentiev Phenomenon ◽  
Constrained Variational Problems

The Lavrentiev phenomenon for invariant variational problems

1988 ◽  
Vol 102 (1) ◽  
pp. 57-93 ◽  
Author(s):  
A. C. Heinricher ◽  
V. J. Mizel
Keyword(s):  
Variational Problems ◽  
Lavrentiev Phenomenon

Element removal method for singular minimizers in variational problems involving Lavrentiev phenomenon

1992 ◽  
Vol 439 (1905) ◽  
pp. 131-137 ◽  
Keyword(s):  
Numerical Methods ◽  
Numerical Method ◽  
Numerical Experiments ◽  
Variational Problems ◽  
Lavrentiev Phenomenon ◽  
Removal Method ◽  
Element Removal Method ◽  
Element Removal ◽  
Singular Minimizers

A numerical method called element removal method is designed to calculate singular minimizers which cannot be approximated by simple applications of standard numerical methods because of the so-called Lavrentiev phenomenon. The convergence of the method is proved. The results of numerical experiments show that the method is effective.

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