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Bounds for some minimizing sequences of functionals

  • Francesco Leonetti EMAIL logo and Pier Vincenzo Petricca
Published/Copyright: May 31, 2010
Advances in Calculus of Variations
From the journal Volume 4 Issue 1

Abstract

We prove pointwise bounds for suitable minimizing sequences of functionals whose model is

ℱ(u) = ∫Ω(|Du(x)|p + h(det Du(x)))dx

where and h : ℝ → [0, +∞) is convex with 2 ≤ p < n.

Received: 2009-05-08
Accepted: 2010-02-16
Published Online: 2010-05-31
Published in Print: 2011-January

© de Gruyter 2010

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