We prove the existence of multipeak solutions to a nonlinear elliptic Neumann problem involving nearly critical Sobolev exponent, in three-dimensional exterior domains.
Nous démontrons, pour un problème elliptique de Neumann avec non-linéarité presque critique, dans un domaine extérieur de dimension trois, l'existence de solutions qui se concentrent en plusieurs points de la frontière lorsque la non-linéarité devient critique.
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@article{CRMATH_2018__356_9_933_0,
author = {Olivier, Ad\'ela{\"\i}de and Rey, Olivier},
title = {Solutions to a nonlinear {Neumann} problem in three-dimensional exterior domains},
journal = {Comptes Rendus. Math\'ematique},
pages = {933--956},
publisher = {Elsevier},
volume = {356},
number = {9},
year = {2018},
doi = {10.1016/j.crma.2018.07.005},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2018.07.005/}
}
TY - JOUR AU - Olivier, Adélaïde AU - Rey, Olivier TI - Solutions to a nonlinear Neumann problem in three-dimensional exterior domains JO - Comptes Rendus. Mathématique PY - 2018 SP - 933 EP - 956 VL - 356 IS - 9 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2018.07.005/ DO - 10.1016/j.crma.2018.07.005 LA - en ID - CRMATH_2018__356_9_933_0 ER -
%0 Journal Article %A Olivier, Adélaïde %A Rey, Olivier %T Solutions to a nonlinear Neumann problem in three-dimensional exterior domains %J Comptes Rendus. Mathématique %D 2018 %P 933-956 %V 356 %N 9 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2018.07.005/ %R 10.1016/j.crma.2018.07.005 %G en %F CRMATH_2018__356_9_933_0
Olivier, Adélaïde; Rey, Olivier. Solutions to a nonlinear Neumann problem in three-dimensional exterior domains. Comptes Rendus. Mathématique, Volume 356 (2018) no. 9, pp. 933-956. doi : 10.1016/j.crma.2018.07.005. http://archive.numdam.org/articles/10.1016/j.crma.2018.07.005/
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