In this paper, we study the existence for two positive solutions toa nonhomogeneous elliptic equation of fourth order with a parameter lambda such that 0 < lambda < lambda^. The first solution has a negative energy while the energy of the secondone is positive for 0 < lambda < lambda_0 and negative for lambda0 < 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).
@article{11491,
title = {Positive solutions with changing sign energy to a nonhomogeneous elliptic problem of fourth order - doi: 10.5269/bspm.v29i1.11491},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {28},
year = {2010},
doi = {10.5269/bspm.v29i1.11491},
language = {EN},
url = {http://dml.mathdoc.fr/item/11491}
}
Talbi, M.; Tsouli, N. Positive solutions with changing sign energy to a nonhomogeneous elliptic problem of fourth order - doi: 10.5269/bspm.v29i1.11491. Boletim da Sociedade Paranaense de Matemática, Tome 28 (2010) . doi : 10.5269/bspm.v29i1.11491. http://gdmltest.u-ga.fr/item/11491/