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Multiple positive solutions of superlinear elliptic problems with sign-changing weight

par Bonheure, Denis ;Gomes, José-Maria;Habets, Patrick
Référence Journal of differential equations, 214, 1, page (36-64)
Publication Publié, 2005

Article révisé par les pairs

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Résumé :

We study the existence of multiple positive solutions for a superlinear elliptic PDE with a sign-changing weight. Our approach is variational and relies on classical critical point theory on smooth manifolds. A special care is paid to the localization of minimax critical points. © 2004 Elsevier Inc. All rights reserved.