We study solutions of the nonlinear Hammerstein integral equation with changing--sign kernels by using a variational principle of B. 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.
Solutions of Hammerstein equations via a variational principle
FARACI, FRANCESCA;
2004-01-01
Abstract
We study solutions of the nonlinear Hammerstein integral equation with changing--sign kernels by using a variational principle of B. 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.File in questo prodotto:
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