Minimal currents and relaxation of variational integrals on mappings of bounded variation

DOI10.3792/pjaa.66.68zbMath0706.49003OpenAlexW2076073227MaRDI QIDQ919255

Patricio Aviles, Yoshikazu Giga

Publication date: 1990

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.66.68

zbMATH Keywords

variational integralsshortest curveminimal current

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items

Variational integrals on mappings of bounded variation and their lower semicontinuity, Minimal currents, geodesics, and relaxation of variational integrals on mappings of bounded variation

Cites Work

• Functionals with linear growth defined on vector valued BV functions
• Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
• Variational integrals on mappings of bounded variation and their lower semicontinuity
• Network flow, transportation and scheduling. Theory and algorithms
• Weak convergence of completely additive vector functions on a set
• Sublinear functions of measures and variational integrals
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