We study the existence and the multiplicity of solutions for the problem , in Ω and on ∂Ω, when the set of the minimizers for the weight p has multiple connected component. We study also the case where this set has one connected component and has complex topology.
On étudie l'existence et la multiplicité de solutions du problème , dans Ω et sur ∂Ω dans le cas où l'ensemble de minima de p admet plusieurs composantes connexes. On s'intéresse également au cas où cet ensemble possède une seule composante connexe et une topologie complexe.
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@article{CRMATH_2006__343_11-12_725_0, author = {Hadiji, Rejeb and Molle, Riccardo and Passaseo, Donato and Yazidi, Habib}, title = {Localization of solutions for nonlinear elliptic problems with critical growth}, journal = {Comptes Rendus. Math\'ematique}, pages = {725--730}, publisher = {Elsevier}, volume = {343}, number = {11-12}, year = {2006}, doi = {10.1016/j.crma.2006.10.018}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2006.10.018/} }
TY - JOUR AU - Hadiji, Rejeb AU - Molle, Riccardo AU - Passaseo, Donato AU - Yazidi, Habib TI - Localization of solutions for nonlinear elliptic problems with critical growth JO - Comptes Rendus. Mathématique PY - 2006 SP - 725 EP - 730 VL - 343 IS - 11-12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2006.10.018/ DO - 10.1016/j.crma.2006.10.018 LA - en ID - CRMATH_2006__343_11-12_725_0 ER -
%0 Journal Article %A Hadiji, Rejeb %A Molle, Riccardo %A Passaseo, Donato %A Yazidi, Habib %T Localization of solutions for nonlinear elliptic problems with critical growth %J Comptes Rendus. Mathématique %D 2006 %P 725-730 %V 343 %N 11-12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2006.10.018/ %R 10.1016/j.crma.2006.10.018 %G en %F CRMATH_2006__343_11-12_725_0
Hadiji, Rejeb; Molle, Riccardo; Passaseo, Donato; Yazidi, Habib. Localization of solutions for nonlinear elliptic problems with critical growth. Comptes Rendus. Mathématique, Volume 343 (2006) no. 11-12, pp. 725-730. doi : 10.1016/j.crma.2006.10.018. http://archive.numdam.org/articles/10.1016/j.crma.2006.10.018/
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