Lower semi-continuity for non-coercive polyconvex integrals in the limit case

Author:

De Philippis G.,Di Marino S.,Focardi M.

Abstract

Lower semi-continuity results for polyconvex functionals of the calculus of variations along sequences of maps u: Ω ⊂ ℝn → ℝm in W1,m, 2 ⩽ mn, weakly converging in W1,m-1, are established. In addition, for m = n + 1, we also consider the autonomous case for weakly converging maps in W1,n-1.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Vector variational problem with knitting boundary conditions;Quarterly of Applied Mathematics;2016-10-05

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