<b>Positive solutions with changing sign energy to a nonhomogeneous elliptic problem of fourth order</b> - doi: 10.5269/bspm.v29i1.11491

Abstract

In this paper, we study the existence for two positive solutions to
a 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 second
one 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).