6 papers · 1 filter
Existence results for a nonlinear nonautonomus transmission problem via domain perturbation
Matteo Dalla Riva, Riccardo Molinarolo, Paolo Musolino
In this paper we study the existence and the analytic dependence upon domain perturbation of the solutions of a nonlinear nonautonomous transmission problem for the Laplace equatio…
Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem
Matteo Dalla Riva, Riccardo Molinarolo, Paolo Musolino
We consider the Laplace equation in a domain of , , with a small inclusion of size . On the boundary of the inclusion we define a nonlinear nonautonomous t…
Singular behavior for a multi-parameter periodic Dirichlet problem
Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino
We consider a Dirichlet problem for the Poisson equation in a periodically perforated domain. The geometry of the domain is controlled by two parameters: a real number propor…
The Functional Analytic Approach for quasi-periodic boundary value problems for the Helmholtz equation
Roberto Bramati, Matteo Dalla Riva, Paolo Luzzini +1
We lay down the preliminary work to apply the Functional Analytic Approach to quasi-periodic boundary value problems for the Helmholtz equation. This consists in introducing a quas…
A degenerating Robin-type traction problem in a periodic domain
Matteo Dalla Riva, Gennady Mishuris, Paolo Musolino
We consider a linearly elastic material with a periodic set of voids. On the boundaries of the voids we set a Robin-type traction condition. Then we investigate the asymptotic beha…
An existence result for a nonlinear transmission problems
M. Dalla Riva, G. Mishuris
Let and be open bounded subsets of of class such that the closure of is contained in . Let be a function in $C^{1,α}(\partialΩ…