It is proved the existence of solutions to the exterior Dirichlet problem for the minimal hypersurface equation in complete noncompact Riemannian manifolds either with negative sectional curvature and simply connected or with nonnegative Ricci curvature under a growth condition on the sectional curvature.
@article{AIHPC_2011__28_3_385_0, author = {do Esp{\'\i}rito-Santo, Nedir and Ripoll, Jaime}, title = {Some existence results on the exterior {Dirichlet} problem for the minimal hypersurface equation}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {385--393}, publisher = {Elsevier}, volume = {28}, number = {3}, year = {2011}, doi = {10.1016/j.anihpc.2011.02.007}, mrnumber = {2795712}, zbl = {1219.58006}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2011.02.007/} }
TY - JOUR AU - do Espírito-Santo, Nedir AU - Ripoll, Jaime TI - Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation JO - Annales de l'I.H.P. Analyse non linéaire PY - 2011 SP - 385 EP - 393 VL - 28 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2011.02.007/ DO - 10.1016/j.anihpc.2011.02.007 LA - en ID - AIHPC_2011__28_3_385_0 ER -
%0 Journal Article %A do Espírito-Santo, Nedir %A Ripoll, Jaime %T Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation %J Annales de l'I.H.P. Analyse non linéaire %D 2011 %P 385-393 %V 28 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2011.02.007/ %R 10.1016/j.anihpc.2011.02.007 %G en %F AIHPC_2011__28_3_385_0
do Espírito-Santo, Nedir; Ripoll, Jaime. Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation. Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011) no. 3, pp. 385-393. doi : 10.1016/j.anihpc.2011.02.007. http://www.numdam.org/articles/10.1016/j.anihpc.2011.02.007/
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