We study the existence and the multiplicity of solutions for the problem -div(p(x)del u) =u(2*-1) +lambda u, u > 0 in Omega and u = 0 on partial derivative Omega, 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.
Hadiji, R., Molle, R., Passaseo, D., Yazidi, H. (2006). Localization of solutions for nonlinear elliptic problems with critical growth. COMPTES RENDUS MATHÉMATIQUE, 343(11-12), 725-730 [10.1016/j.crma.2006.10.018].
Localization of solutions for nonlinear elliptic problems with critical growth
MOLLE, RICCARDO;
2006-01-01
Abstract
We study the existence and the multiplicity of solutions for the problem -div(p(x)del u) =u(2*-1) +lambda u, u > 0 in Omega and u = 0 on partial derivative Omega, 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.File in questo prodotto:
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