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The Lavrentiev phenomenon and the obstacle problem for the Dirichlet integral

Authors: T. Kilpeläinen and P. Lindqvist
Journal: Proc. Amer. Math. Soc. 123 (1995), 2459-2464
MSC: Primary 49K30; Secondary 31B05
MathSciNet review: 1264819
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Abstract: It is shown that the Lavrentiev phenomenon can occur for the Dirichlet integral, when the obstacle problem is considered.

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