The relaxed \(\mathrm{p}\)-energy of manifold constrained mappings

DOI10.1007/S12215-024-01158-5MaRDI QIDQ6667768

Domenico Mucci

Publication date: 20 January 2025

Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)

zbMATH Keywords

relaxed energyRiemannian manifoldscurrentsSobolev mappingsCoarea formula

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Integral geometry (53C65)

Cites Work

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• Maps into manifolds and currents: area and \(W^{1,2}\)-, \(W^{1/2}\)-, \(BV\)-energies
• Normal and integral currents
• Prescribed singularities with weights
• Density results relative to the Dirichlet energy of mappings into a manifold
• The relaxed Dirichlet energy of manifold constrained mappings
• Relaxed energies for $H^{1/2}$-maps with values into the circle and measureable weights
• On sequence of maps with equibounded energies

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