Papers
Published papers
Published papers
- Matteo Dalla Riva and Paolo Musolino. The Dirichlet problem in a planar domain with two moderately close holes. J. Differential Equations, 263 (5), 2567-2605, 2017.
- Martin Costabel, Matteo Dalla Riva, Monique Dauge, and Paolo Musolino. Converging expansions for Lipschitz self-similar perforations of a plane sector. Integral Equations Operator Theory, 88(3), 401-449, 2017. Read it online
- Massimo Lanza de Cristoforis and Paolo Musolino. Two-parameter homogenization for a nonlinear Robin problem for the Poisson equation in an unbounded periodically perforated domain. A functional analytic approach. Rev. Mat. Complut., 31 (1), 63-110, 2018. Read it online
- Virginie Bonnaillie-Noël, Matteo Dalla Riva, Marc Dambrine, and Paolo Musolino. A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary. J. Math. Pures Appl. (9), 116, 211–267, 2018.
- Massimo Lanza de Cristoforis and Paolo Musolino. Two-parameter anisotropic homogenization for a Dirichlet problem for the Poisson equation in an unbounded periodically perforated domain. A functional analytic approach. Math. Nachr., 291 (8-9): 1310–1341, 2018.
- Massimo Lanza de Cristoforis and Paolo Musolino. Analytic dependence of a periodic analog of a fundamental solution upon the periodicity parameters. Ann. Mat. Pura Appl.,197 (4), 1089–1116, 2018.
- Paolo Musolino and Gennady Mishuris. A nonlinear problem for the Laplace equation with a degenerating Robin condition. Math. Methods Appl. Sci., 41 (13), 5211–5229, 2018.
Submitted papers
Submitted papers
- Massimo Lanza de Cristoforis and Paolo Musolino. Asymptotic behavior of the energy integral of a two-parameter homogenization problem with nonlinear periodic Robin boundary conditions. Submitted.
- Matteo Dalla Riva, Massimo Lanza de Cristoforis and Paolo Musolino. Mapping properties of weakly singular periodic volume potentials in Roumieu classes. Submitted.
- Matteo Dalla Riva, Paolo Musolino, and Roman Pukhtaievych. Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface. Submitted.
Preprints
Preprints
- Massimo Lanza de Cristoforis, Paolo Musolino, and Jari Taskinen. Spectral gaps and real analytic dependence on a geometric parameter for Dirichlet-Laplacian. Preprint.
- Paolo Luzzini, Paolo Musolino, and Roman Pukhtaievych. Shape analyticity of the effective longitudinal permeability of a periodic array of cylinders. In preparation.