Existence of free discontinuity problems in \(SBD(\varOmega )\)

DOI10.1016/j.na.2008.10.080zbMath1173.35441OpenAlexW1586164529MaRDI QIDQ1021728

Zhong-Xue Lü, Xiao-Ping Yang

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.080

zbMATH Keywords

existencefree discontinuity problems\(SBD(\varOmega )\)

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Variational methods for elliptic systems (35J50) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (1)

Some sufficient conditions for lower semicontinuity in SBD and applications to minimum problems

Cites Work

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• Compactness and lower semicontinuity properties in \(SBD(\Omega)\)
• Strong solution for an elastic-plastic plate
• Fine properties of functions with bounded deformation
• On lower semicontinuity of integral functionals in \(LD(\Omega)\)
• On lower semicontinuity and relaxation
• Un espace fonctionnel pour les équations de la plasticité

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