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The Lavrentiev Phenomenon and the Obstacle Problem for the Dirichlet Integral

✍ Scribed by T. Kilpeläinen and P. Lindqvist


Book ID
121301187
Publisher
American Mathematical Society
Year
1995
Tongue
English
Weight
152 KB
Volume
123
Category
Article
ISSN
0002-9939

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The Lavrentiev Phenomenon for Free Disco
✍ A. Braides 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 563 KB

We study lower semicontinuity problems for a class of integral functionals depending on a bulk energy and a jump part energy. These functionals are naturally defined on functions of bounded variation, and can be extended by relaxation to a larger set of discontinuous functions. We give a representat