On the \(L^{1}\)-lower semicontinuity of certain convex functionals defined on \(BV\)-vector valued functions
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Publication:1041330
DOI10.1007/s11565-009-0061-9zbMath1177.49025OpenAlexW2039640854MaRDI QIDQ1041330
Publication date: 2 December 2009
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11565-009-0061-9
Methods involving semicontinuity and convergence; relaxation (49J45) Numerical methods of relaxation type (49M20)
Cites Work
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- A chain rule in \(L^1(\text{div};\Omega)\) and its applications to lower semicontinuity
- Regularity of quasiconvex envelopes
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- On lower semicontinuity and relaxation
- On the Definition and Properties of Certain Variational Integrals
- A relaxation result in BV for integral functionals with discontinuous integrands
- Quasiconvex functions with subquadratic growth
- Weak lower semicontinuity of polyconvex integrals
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