We study solutions of the nonlinear Hammerstein integral equation with changing-sign kernels by using a variational principle of Ricceri and critical points theory techniques. Combining the effects of a sublinear and superlinear nonlinear terms we establish new existence and multiplicity results for the equation. As an application we consider a semi-linear Dirichlet problem for polyharmonic elliptic operators.
|Translated title of the contribution||Solutions of Hammerstein integral equations via a variational priniple|
|Pages (from-to)||385 - 402|
|Journal||Journal of Integral Equations|
|Publication status||Published - 2003|