Papers

Published papers


  1. 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.
  2. 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
  3. 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
  4. 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.
  5. 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.
  6. 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.
  7. 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

  1. 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.
  2. Matteo Dalla Riva, Massimo Lanza de Cristoforis and Paolo Musolino. Mapping properties of weakly singular periodic volume potentials in Roumieu classes. Submitted.
  3. 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

  1. Massimo Lanza de Cristoforis, Paolo Musolino, and Jari Taskinen. Spectral gaps and real analytic dependence on a geometric parameter for Dirichlet-Laplacian. Preprint.
  2. Paolo Luzzini, Paolo Musolino, and Roman Pukhtaievych. Shape analyticity of the effective longitudinal permeability of a periodic array of cylinders. In preparation.