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Nonlinear elliptic fourth order equations existence and multiplicity results

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Abstract

This paper deals with the existence of solutions to a class of fourth order nonlinear elliptic equations. The technique used relies on critical points theory. The solutions appeared as critical points of a functional restricted to a suitable manifold. In the case of constant coefficients we obtain the existence of three distinct solutions.

Mathematics Subject Classification (2000)

58J05 
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© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of SciencesUniversity Aboubakr BelkaïdTlemcenAlgeria

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