| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 839424 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 7 Pages |
Abstract
We deal with variational integrals ∫Ωf(x,Du(x))dx∫Ωf(x,Du(x))dx and we consider a minimizer u:Ω⊂Rn→Ru:Ω⊂Rn→R among all functions that agree on the boundary ∂Ω∂Ω with some fixed boundary value u∗u∗. We assume that the boundary datum u∗u∗ makes the density f(x,Du∗(x))f(x,Du∗(x)) more integrable and we prove that the minimizer uu enjoy higher integrability.
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Authors
Francesco Leonetti, Pier Vincenzo Petricca,