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A relaxation result in B V × L p for integral functionals depending on chemical composition and elastic strain

  • Published:2016-11-07 Issue:1-2 Volume:100 Page:1-20
  • ISSN:1875-8576
  • Container-title:Asymptotic Analysis
  • language:
  • Short-container-title:ASY

Author:

Carita Graça1,Zappale Elvira2

Affiliation:

1. CIMA-UE, Departamento de Matemática, Universidade de Évora, Rua Romão Ramalho, 59 7000 671 Évora, Portugal. E-mail: gcarita@uevora.pt

2. D.I.In., Universita’ degli Studi di Salerno, Via Giovanni Paolo II 132, 84084 Fisciano, SA, Italy. E-mail: ezappale@unisa.it

Publisher

IOS Press

Subject

General Mathematics

Reference10 articles.

1. On the relaxation in BV(Ω; Rm) of quasi-convex integrals;Ambrosio;Journal of Functional Analysis,1992

2. L. Ambrosio, N. Fusco and D. Pallara, Functions of Bounded Variation and Free Discontinuity Problems, Clarendon Press, Oxford, 2000.

3. Dimensional reduction for energies with linear growth involving the bending moment;Babadjian;J. Math. Pures et Appl.,2008

4. The cosserat vector in membrane theory: A variational approach;Bouchitte;J. Convex Anal.,2009

5. An homogenization result in W1,p × Lq;Carita;J. Convex Anal.,2011

Cited by 3 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. Relaxation for an optimal design problem in BD(Ω);Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2022-03-10

2. Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities;Advances in Calculus of Variations;2022-01-06

3. A note about weak * lower semicontinuity for functionals with linear growth in W 1,1 × L 1;Journal of Elliptic and Parabolic Equations;2017-11-20
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