| Autor: |
Carozza, Menita, Kristensen, Jan, di Napoli, Antonia Passarelli |
| Rok vydání: |
2013 |
| Předmět: |
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| Zdroj: |
Ann.Sc.Norm.Super.Pisa Cl. Sci. (5) 13 (2014), no.4, 1065-1089 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.2422/2036-2145.201208_005 |
| Popis: |
We establish local higher integrability and differentiability results for minimizers of variational integrals $$ \mathfrak{F}(v,\Omega) = \int_{\Omega} /! F(Dv(x)) \, dx $$ over $W^{1,p}$--Sobolev mappings $u \colon \Omega \subset {\mathbb R}^n \to {\mathbb R}^N$ satisfying a Dirichlet boundary condition. The integrands $F$ are assumed to be autonomous, convex and of $(p,q)$ growth, but are otherwise not subjected to any further structure conditions, and we consider exponents in the range $1
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| Databáze: |
arXiv |
| Externí odkaz: |
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