caa a22 4500 44584339X CHVBK 20180317145351.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s00526-010-0353-z doi (NATIONALLICENCE)springer-10.1007/s00526-010-0353-z A new approximation of relaxed energies for harmonic maps and the Faddeev model [Elektronische Daten] [Mariano Giaquinta, Min-Chun Hong, Hao Yin] We propose a new approximation for the relaxed energy E of the Dirichlet energy and prove that the minimizers of the approximating functionals converge to a minimizer u of the relaxed energy, and that u is partially regular without using the concept of Cartesian currents. We also use the same approximation method to study the variational problem of the relaxed energy for the Faddeev model and prove the existence of minimizers for the relaxed energy $${\tilde{E}_F}$$ in the class of maps with Hopf degree ±1. Springer-Verlag, 2010 Giaquinta Mariano Scuola Normale Superiore, 56126, Pisa, Italy aut Hong Min-Chun Department of Mathematics, The University of Queensland, 4072, Brisbane, QLD, Australia aut Yin Hao Department of Mathematics, The University of Queensland, 4072, Brisbane, QLD, Australia aut Calculus of Variations and Partial Differential Equations Springer-Verlag 41/1-2(2011-05-01), 45-69 0944-2669 41:1-2<45 2011 41 526 https://doi.org/10.1007/s00526-010-0353-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0353-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Giaquinta Mariano Scuola Normale Superiore, 56126, Pisa, Italy aut NATIONALLICENCE 700 1- Hong Min-Chun Department of Mathematics, The University of Queensland, 4072, Brisbane, QLD, Australia aut NATIONALLICENCE 700 1- Yin Hao Department of Mathematics, The University of Queensland, 4072, Brisbane, QLD, Australia aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 41/1-2(2011-05-01), 45-69 0944-2669 41:1-2<45 2011 41 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer