Abstract
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 |
|---|---|
| Original language | English |
| Pages (from-to) | 385 - 402 |
| Journal | Journal of Integral Equations |
| Volume | 15 |
| Publication status | Published - 2003 |