[Singularités au bord de solutions positives d'équations elliptiques non-linéaires]
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.
Publié le :
@article{CRMATH_2007__344_2_83_0,
author = {Marie-Fran\c{c}oise Bidaut-V\'eron and Augusto C. Ponce and Laurent V\'eron},
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},
}
TY - JOUR AU - Marie-Françoise Bidaut-Véron AU - Augusto C. Ponce AU - Laurent Véron 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 DO - 10.1016/j.crma.2006.11.027 LA - en ID - CRMATH_2007__344_2_83_0 ER -
%0 Journal Article %A Marie-Françoise Bidaut-Véron %A Augusto C. Ponce %A Laurent Véron %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 %R 10.1016/j.crma.2006.11.027 %G en %F CRMATH_2007__344_2_83_0
Marie-Françoise Bidaut-Véron; Augusto C. Ponce; Laurent Véron. Boundary singularities of positive solutions of some nonlinear elliptic equations. Comptes Rendus. Mathématique, Volume 344 (2007) no. 2, pp. 83-88. doi : 10.1016/j.crma.2006.11.027. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.11.027/
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Commentaires - Politique
Haydar Abdel Hamid; Marie Françoise Bidaut-Véron
C. R. Math (2008)