| Autor: |
Challal, S., Lyaghfouri, A., Rodrigues, J. F. |
| Rok vydání: |
2010 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
In this paper we prove existence and uniqueness of an entropy solution to the A-obstacle problem, for L^1 data. We also extend the Lewy-Stampacchia inequalities to the general framework of L^1 data, and show convergence and stability results. We then prove that the free boundary has finite N-1 Hausdorff measure, which completes previous works on this subject by Caffarelli for the Laplace operator and by Lee and Shahgholian for the p-Laplace operator when p>2. |
| Databáze: |
arXiv |
| Externí odkaz: |
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