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Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators

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  • Abdallah El Hamidi

Abstract

This paper deals with an elliptic equation involving Paneitz type operators on compact Riemannian manifolds with concave-convex nonlinearities and a real parameter. Nonlocal and multiple existence results are established. Characteristic values of the real parameter are introduced and their role in the change of the energy sign and the existence of positive solutions are highlighted.

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  • Abdallah El Hamidi, 2004. "Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-20, January.
    • Handle: RePEc:hin:jijmms:857017
    DOI: 10.1155/S0161171204305119
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