%0 Journal Article
%T Positive solutions with changing sign energy to a nonhomogeneous elliptic problem of fourth order
%A M.Talbi
%A N.Tsouli
%J Boletim da Sociedade Paranaense de Matem¨¢tica
%D 2011
%I Sociedade Brasileira de Matem¨¢tica
%X In this paper, we study the existence for two positive solutions toa nonhomogeneous elliptic equation of fourth order with a parameter lambda such tha 0 < lambda < lambda^. The first solution has a negative energy while the energy of the second one is positive for 0 < lambda < lambda_0 and negative for lambda_0 < lambda < lambda^. The values lambda_0 and lambda^ are given under variational form and we show that every corresponding critical point is solution of the nonlinear elliptic problem (with a suitable multiplicative term).
%K Ekeland¡¯s principle
%K p-Laplacian operator
%K Palais-Smale condition.
%U http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/11491/6175