Higher integrability for constrained minimizers of integral functionals with (p, q)-growth in low dimension
We prove higher summability for the gradient of minimizers of strongly convex integral functionals of the Calculus of Variations ˆ Ω f(x, Du(x)) dx, u : Ω ⊂ R n → S N−1 , with growth conditions of (p, q)-type: |ξ| p ≤ f(x, ξ) ≤ C(|ξ| q + 1), p < q, in low dimension. Our procedure is set in th...
| Main Author: | |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Elsevier
2018
|