The Lavrentiev phenomenon and the obstacle problem for the Dirichlet integral

The Lavrentiev phenomenon and the obstacle problem for the Dirichlet integral
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by T. Kilpeläinen and P. Lindqvist PDF

Proc. Amer. Math. Soc. 123 (1995), 2459-2464 Request permission

It is shown that the Lavrentiev phenomenon can occur for the Dirichlet integral, when the obstacle problem is considered.

References

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Sur quelques problèmes du calcul des variations

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Sopra un esempio di Lavrentieff

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