Nous étudions le comportement quand x tend vers de toute solution positive de (E) dans Ω qui s'annule sur , où est un domaine régulier, et . Nos résultats sont fondés sur des estimations a priori des solutions de (E), et des résultats d'existence, de non existence et d'unicité de solutions de certaines équations elliptiques non linéaires sur la demi-sphère unité.
We study the behavior near of any positive solution of (E) in Ω which vanishes on , where is a smooth domain, and . Our results are based upon a priori estimates of solutions of (E) and existence, non-existence and uniqueness results for solutions of some nonlinear elliptic equations on the upper-half unit sphere.
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@article{CRMATH_2007__344_2_83_0, author = {Bidaut-V\'eron, Marie-Fran\c{c}oise and Ponce, Augusto C. and V\'eron, Laurent}, title = {Boundary singularities of positive solutions of some nonlinear elliptic equations}, journal = {Comptes Rendus. Math\'ematique}, pages = {83--88}, publisher = {Elsevier}, volume = {344}, number = {2}, year = {2007}, doi = {10.1016/j.crma.2006.11.027}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2006.11.027/} }
TY - JOUR AU - Bidaut-Véron, Marie-Françoise AU - Ponce, Augusto C. AU - Véron, Laurent TI - Boundary singularities of positive solutions of some nonlinear elliptic equations JO - Comptes Rendus. Mathématique PY - 2007 SP - 83 EP - 88 VL - 344 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2006.11.027/ DO - 10.1016/j.crma.2006.11.027 LA - en ID - CRMATH_2007__344_2_83_0 ER -
%0 Journal Article %A Bidaut-Véron, Marie-Françoise %A Ponce, Augusto C. %A Véron, Laurent %T Boundary singularities of positive solutions of some nonlinear elliptic equations %J Comptes Rendus. Mathématique %D 2007 %P 83-88 %V 344 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2006.11.027/ %R 10.1016/j.crma.2006.11.027 %G en %F CRMATH_2007__344_2_83_0
Bidaut-Véron, Marie-Françoise; Ponce, Augusto C.; Véron, Laurent. Boundary singularities of positive solutions of some nonlinear elliptic equations. Comptes Rendus. Mathématique, Tome 344 (2007) no. 2, pp. 83-88. doi : 10.1016/j.crma.2006.11.027. http://archive.numdam.org/articles/10.1016/j.crma.2006.11.027/
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