A theorem on lower semicontinuity of integral functionals

DOI10.1017/S0308210500022782zbMath0849.49014OpenAlexW2041144012MaRDI QIDQ4879065

Zhiping Li

Publication date: 21 May 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500022782

zbMATH Keywords

integral functionalslower semicontinuity

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (6)

An integral representation theorem for lower semicontinuous envelopes of integral functionals ⋮ Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity ⋮ NUMERICAL SOLUTION OF NONLINEAR ELASTICITY PROBLEMS WITH LAVRENTIEV PHENOMENON ⋮ Finite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and Linearization ⋮ A TRUNCATION METHOD FOR DETECTING SINGULAR MINIMIZERS INVOLVING THE LAVRENTIEV PHENOMENON ⋮ Semi-continuité inférieure d'intégrales multiples et d'intégrandes convergentes

Cites Work

• Convexity conditions and existence theorems in nonlinear elasticity
• A numerical method for computing singular minimizers
• On the stability of conformal mappings in multidimensional spaces
• Lower semicontinuity of multiple integrals and the Biting Lemma
• Element removal method for singular minimizers in variational problems involving Lavrentiev phenomenon
• On Lower Semicontinuity of Integral Functionals. I
• Semicontinuity problems in the calculus of variations

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