Solutions of Hammerstein Integral Equations via a Variational Principle

Francesca Faraci, Vitaly Moroz
2003 Journal of Integral Equations and Applications  
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 semilinear Dirichlet problem for polyharmonic elliptic operators.
doi:10.1216/jiea/1181074983 fatcat:flozzmhvs5fv5ajlnf6wwjsgo4