4.6 Article

LOWER SEMICONTINUITY RESULTS FOR FREE DISCONTINUITY ENERGIES

Journal

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 20, Issue 5, Pages 707-730

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202510004416

Keywords

Semicontinuity; existence; capacity; fractures

Funding

  1. European Research Council [226234]

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We establish new lower semicontinuity results for energy functionals containing a very general volume term of polyconvex type and a surface term depending on the spatial variable in a discontinuous way.

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