has been some interest in studying mappings in the fractional Sobolev space W1/2(Ω, S1), see e.g., [4] [3] [15] [12] and the paper [5]. Motivated by these papers, we characterize here in the framework of Cartesian currents, see [9], the class of weak limits of sequences of smooth mappings with values into S1 with equibounded W1/2 energies.
On sequences of maps into S1 with equibounded W1/2 energy
GIAQUINTA, Mariano;
2004
Abstract
has been some interest in studying mappings in the fractional Sobolev space W1/2(Ω, S1), see e.g., [4] [3] [15] [12] and the paper [5]. Motivated by these papers, we characterize here in the framework of Cartesian currents, see [9], the class of weak limits of sequences of smooth mappings with values into S1 with equibounded W1/2 energies.File in questo prodotto:
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