| Autor: |
Bednarczuk, Ewa, Pierre, Michel, Rouy, Elisabeth, Sokolowski, Jan |
| Přispěvatelé: |
Mathematical Analysis and Numerical Simulation of Non-Linear Models (NUMATH), INRIA Lorraine, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), INRIA |
| Jazyk: |
angličtina |
| Rok vydání: |
1997 |
| Předmět: |
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| Zdroj: |
[Research Report] RR-3190, INRIA. 1997, pp.24 |
| Popis: |
We give necessary and sufficient conditions for a given element to be a member of the second order tangent set $T»_{K}(f,v)$ to the positive cone $K$ in $L^{\infty}¸.$ Since, in general $T»_{K}(f,v)$ may be empty we give conditions on functions $f¸, v$ which ensure that the second tangent set is a cone. As an application of the results obtained we give a characterization of the elements of the first and second tangent set to the set $B={u\in W^{1,\infty}(Ømega)¸ |¸|\nabla u|^{2}\leq 1}¸.$ |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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