We prove the existence of non-smooth solutions to three-dimensional Special Lagrangian Equations in the non-convex case.
Nous démontrons l'existence de solutions singulières d'équations speciales lagrangiennes en dimension trois, dans le cas non convexe.
@article{AIHPC_2010__27_5_1179_0,
author = {Nadirashvili, Nikolai and Vl\u{a}du\c{t}, Serge},
title = {Singular solution to {Special} {Lagrangian} {Equations}},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {1179--1188},
year = {2010},
publisher = {Elsevier},
volume = {27},
number = {5},
doi = {10.1016/j.anihpc.2010.05.001},
zbl = {1200.35123},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2010.05.001/}
}
TY - JOUR AU - Nadirashvili, Nikolai AU - Vlăduţ, Serge TI - Singular solution to Special Lagrangian Equations JO - Annales de l'I.H.P. Analyse non linéaire PY - 2010 SP - 1179 EP - 1188 VL - 27 IS - 5 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpc.2010.05.001/ DO - 10.1016/j.anihpc.2010.05.001 LA - en ID - AIHPC_2010__27_5_1179_0 ER -
%0 Journal Article %A Nadirashvili, Nikolai %A Vlăduţ, Serge %T Singular solution to Special Lagrangian Equations %J Annales de l'I.H.P. Analyse non linéaire %D 2010 %P 1179-1188 %V 27 %N 5 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpc.2010.05.001/ %R 10.1016/j.anihpc.2010.05.001 %G en %F AIHPC_2010__27_5_1179_0
Nadirashvili, Nikolai; Vlăduţ, Serge. Singular solution to Special Lagrangian Equations. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 5, pp. 1179-1188. doi: 10.1016/j.anihpc.2010.05.001
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