Liquid crystals : relaxed energies, dipoles, singular lines and singular points
M. Giaquinta, G. Modica, J. Souček (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. Giaquinta, G. Modica, J. Souček (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mariano Giaquinta, Domenico Mucci (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Let be a smooth compact oriented riemannian manifoldwithout boundary, and assume that its -homology group has notorsion. Weak limits of graphs of smooth maps with equibounded total variation give riseto equivalence classes of cartesian currents in for which we introduce a natural-energy.Assume moreover that the first homotopy group of iscommutative. In any dimension we prove that every element in can be approximatedweakly in the sense of currents by a sequence...
M. Giaquinta (1997)
Journées équations aux dérivées partielles
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M. Carriero, A. Leaci (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Danilo Percivale (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Robert Hardt, Tristan Rivière (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Smooth maps between riemannian manifolds are often not strongly dense in Sobolev classes of finite energy maps, and an energy drop in a limiting sequence of smooth maps often is accompanied by the production (or bubbling) of an associated rectifiable current. For finite 2-energy maps from the 3 ball to the 2 sphere, this phenomenon has been well-studied in works of Bethuel-Brezis-Coron and Giaquinta-Modica-Soucek where a finite mass 1 dimensional rectifiable current occurs whose boundary...