Partial regularity of strong local minimizers of quasiconvex integrals with (p, q)-growth
Published online by Cambridge University Press: 26 May 2009
Abstract
We consider strictly quasiconvex integrals
in the multi-dimensional calculus of variations. For the C2-integrand f : ℝNn → ℝ we impose (p, q)-growth conditions
with γ, Γ > 0 and 1 < p ≤ q < min {p + 1/n, p(2n − 1)/(2n − 2)}. Under these assumptions we prove partial C1, αloc-regularity for strong local minimizers of F and the associated relaxed functional .
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 3 , June 2009 , pp. 595 - 621
- Copyright
- Copyright © Royal Society of Edinburgh 2009
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