Localization of solutions for nonlinear elliptic problems with critical growth

  • Hadiji R
  • Molle R
  • Passaseo D
 et al. 
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Abstract

We study the existence and the multiplicity of solutions for the problem - div (p (x) ∇ u) = u2*- 1+ λ u, u > 0 in Ω and u = 0 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. To cite this article: R. Hadiji et al., C. R. Acad. Sci. Paris, Ser. I 343 (2006). © 2006 Académie des sciences.

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