We study positive solutions of the equation , where and is small, with Neumann boundary condition in a unit ball B. We prove the existence of solutions with an interior bubble at the center and a boundary layer at the boundary ∂B.
Nous considérons le problème , dans la boule unité B de où , est petit et u vérifie les conditions au bord de Neumann. Nous montrons l'existence d'une solution radiale se concentrant au centre et le long de la frontière de B quand ϵ tend vers 0.
Accepted:
Published online:
Juncheng Wei 1; Shusen Yan 2
@article{CRMATH_2006__343_5_311_0, author = {Juncheng Wei and Shusen Yan}, title = {Solutions with interior bubble and boundary layer for an elliptic {Neumann} problem with critical nonlinearity}, journal = {Comptes Rendus. Math\'ematique}, pages = {311--316}, publisher = {Elsevier}, volume = {343}, number = {5}, year = {2006}, doi = {10.1016/j.crma.2006.07.010}, language = {en}, }
TY - JOUR AU - Juncheng Wei AU - Shusen Yan TI - Solutions with interior bubble and boundary layer for an elliptic Neumann problem with critical nonlinearity JO - Comptes Rendus. Mathématique PY - 2006 SP - 311 EP - 316 VL - 343 IS - 5 PB - Elsevier DO - 10.1016/j.crma.2006.07.010 LA - en ID - CRMATH_2006__343_5_311_0 ER -
Juncheng Wei; Shusen Yan. Solutions with interior bubble and boundary layer for an elliptic Neumann problem with critical nonlinearity. Comptes Rendus. Mathématique, Volume 343 (2006) no. 5, pp. 311-316. doi : 10.1016/j.crma.2006.07.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.07.010/
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