In this paper, we prove some uniqueness and convergence results for a competing system and its singular limit, and an interior measure estimate of the free boundary for the singular limit.
Keywords: Competing species, Free boundary problem, Harmonic map into singular space
@article{AIHPC_2010__27_2_739_0, author = {Wang, Kelei and Zhang, Zhitao}, title = {Some new results in competing systems with many species}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {739--761}, publisher = {Elsevier}, volume = {27}, number = {2}, year = {2010}, doi = {10.1016/j.anihpc.2009.11.004}, mrnumber = {2595199}, zbl = {1201.35113}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2009.11.004/} }
TY - JOUR AU - Wang, Kelei AU - Zhang, Zhitao TI - Some new results in competing systems with many species JO - Annales de l'I.H.P. Analyse non linéaire PY - 2010 SP - 739 EP - 761 VL - 27 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpc.2009.11.004/ DO - 10.1016/j.anihpc.2009.11.004 LA - en ID - AIHPC_2010__27_2_739_0 ER -
%0 Journal Article %A Wang, Kelei %A Zhang, Zhitao %T Some new results in competing systems with many species %J Annales de l'I.H.P. Analyse non linéaire %D 2010 %P 739-761 %V 27 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpc.2009.11.004/ %R 10.1016/j.anihpc.2009.11.004 %G en %F AIHPC_2010__27_2_739_0
Wang, Kelei; Zhang, Zhitao. Some new results in competing systems with many species. Annales de l'I.H.P. Analyse non linéaire, Volume 27 (2010) no. 2, pp. 739-761. doi : 10.1016/j.anihpc.2009.11.004. http://archive.numdam.org/articles/10.1016/j.anihpc.2009.11.004/
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