In this paper we study compactness and quantization properties of sequences of 1/2-harmonic maps such that . More precisely we show that there exist a weak 1/2-harmonic map , a finite and possible empty set such that up to subsequences
Mots-clés : Fractional harmonic maps, Nonlinear elliptic PDE's, Regularity of solutions, Commutator estimates
@article{AIHPC_2015__32_1_201_0, author = {Da Lio, Francesca}, title = {Compactness and bubble analysis for 1/2-harmonic maps}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {201--224}, publisher = {Elsevier}, volume = {32}, number = {1}, year = {2015}, doi = {10.1016/j.anihpc.2013.11.003}, mrnumber = {3303947}, zbl = {1310.58011}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2013.11.003/} }
TY - JOUR AU - Da Lio, Francesca TI - Compactness and bubble analysis for 1/2-harmonic maps JO - Annales de l'I.H.P. Analyse non linéaire PY - 2015 SP - 201 EP - 224 VL - 32 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2013.11.003/ DO - 10.1016/j.anihpc.2013.11.003 LA - en ID - AIHPC_2015__32_1_201_0 ER -
%0 Journal Article %A Da Lio, Francesca %T Compactness and bubble analysis for 1/2-harmonic maps %J Annales de l'I.H.P. Analyse non linéaire %D 2015 %P 201-224 %V 32 %N 1 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2013.11.003/ %R 10.1016/j.anihpc.2013.11.003 %G en %F AIHPC_2015__32_1_201_0
Da Lio, Francesca. Compactness and bubble analysis for 1/2-harmonic maps. Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 1, pp. 201-224. doi : 10.1016/j.anihpc.2013.11.003. http://www.numdam.org/articles/10.1016/j.anihpc.2013.11.003/
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