7 papers
A multiplicity theorem for a class of nonlocal elliptic equations involving even nonlinearities
Biagio Ricceri
In this paper, on a bounded domain , we consider a nonlocal problem of the type $$\cases{-Îu=Q(u,λ)f(u) & in $Ω$ \cr & \cr u=0 & on $\partialΩ$\cr}$$ where…
A constrained approximation theorem for integral functionals on
Biagio Ricceri
Let be a -finite measure space, a separable real Banach space and . Given a sequence of functions from to …
A note on multiple solutions for Kirchhoff-type equations with a Neumann condition
Biagio Ricceri
Using as a main tool our recent result on the strict minimax inequality proved in [5], in this note we establish a multiplicity theorem for a problem of the type $$\cases{-K\left(\…
A note on nonlocal discrete problems involving sign-changing Kirchhoff functions
Biagio Ricceri
In this note, we establish a multiplicity theorem for a nonlocal discrete problem of the type $$\cases{-\left(a\sum_{m=1}^{n+1}|x_m-x_{m-1}|^2+b\right)(x_{k+1}-2x_k+x_{k-1})=h_k(x_…
Multiple critical points in closed sets via minimax theorems
Biagio Ricceri
In this paper, we apply our minimax theory ([4], [5], [6]) with the one developed by A. Moameni in [2] to formalize a general scheme giving the multiplicity of critical points. Her…
A characterization of the existence of zeros for operators with Lipschitzian derivative and closed range
Biagio Ricceri
Let be a real Hilbert space and be a operator with Lipschitzian derivative and closed range. We prove that if and only if, for each…