Loss of Double-Integral Character During Relaxation
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Publication:5147553
DOI10.1137/20M1319322zbMath1456.49014arXiv1907.13180MaRDI QIDQ5147553
Elvira Zappale, Carolin Kreisbeck
Publication date: 27 January 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.13180
Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Convexity of real functions of several variables, generalizations (26B25)
Related Items (6)
Compactness for a class of integral functionals with interacting local and non-local terms ⋮ Validity and failure of the integral representation of \(\Gamma \)-limits of convex non-local functionals ⋮ Relaxation of a scalar nonlocal variational problem with a double-well potential ⋮ Quasiconvexity in the fractional calculus of variations: characterization of lower semicontinuity and relaxation ⋮ On non-locality in the calculus of variations ⋮ Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals
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