PUBLICATIONS

Publications and results

Singular and regular perturbation problems

M. Dalla Riva, P. Luzzini, R. Molinarolo, P. Musolino, Multi-parameter perturbations for the space-periodic heat equation Commun. Pure Appl. Anal., 2024 (preprint).

Spectral geometry and geometry of PDEs

A. Enciso, A. Pistoia, L. Provenzano, Nonexistence of Courant-type nodal domain bounds for eigenfunctions of the Dirichlet-to-Neumann operator (preprint).
B. Colbois, C. Léna, L. Provenzano, A. Savo, A reverse Faber-Krahn inequality for the magnetic Laplacian, 2024 (preprint)
L. Battaglia, A. Pistoia, L. Provenzano, On the critical points of Steklov eigenfunctions, 2024 (preprint).
P.D. Lamberti, P. Luzzini, M. Zaccaron, Permittivity optimization for Maxwell’s eigenvalues, 2023 (preprint).
L. Provenzano, A. Savo, Geometry of the magnetic Steklov problem on Riemannian annuli, 2023 (preprint).
M. Grossi, L. Provenzano, On the critical points of semi-stable solutions on convex domains of Riemannian surfaces Math. Ann., 2023 (preprint, publication).
B. Colbois, C. Léna, L. Provenzano, A. Savo, Geometric bounds for the magnetic Neumann eigenvalues in the plane. J. Math. Pures Appl., 2023. (preprint, publication).

Integral equations and integral operators, potential theory

M. Lanza de Cristoforis, A survey on the boundary behavior of the double layer potential in Schauder spaces in the frame of an abstract approach, to appear in Exact and Approximate Solutions for Mathematical Models in Science and Engineering, C. Constanda, P. Harris, B. Bodmann (eds.), Birkhäuser, Boston, 2024 (preprint).
M. Lanza de Cristoforis, A nonvariational form of the Neumann problem for Hölder continuous harmonic functions, 2024 (preprint).
M. Lanza de Cristoforis, A nonvariational form of the Neumann problem for the Poisson equation, 2024 (preprint).
M. Lanza de Cristoforis, Continuity of the double layer potential of a second order elliptic differential operator in Schauder spaces on the boundary, J. Math. Sci (2024) (publication)
M. Lanza de Cristoforis, A Necessary Condition on a Singular Kernel for the Continuity of an Integral Operator in Hölder Spaces. Mediterr. J. Math. 21, 47 (2024) (publication).
M. Lanza de Cristoforis, On the tangential gradient of the kernel of the double layer potential, Complex Var. Elliptic Equ. (2024) (preprint).

Approximation theory and other applications

D. Greco, P.D. Lamberti, Extension and embedding theorems for Campanato spaces on C^{0,γ} domains, Mathematische Nachricten, first published: February 28, 2024 https://doi.org/10.1002/mana.202300092 (preprint).
A. Cialdea, New completeness theorems on the bounday in Elasticity, J. Math. Anal. Appl. (2024) (preprint).
G. Santin, T. Wenzel, B. Haasdonk, On the optimality of target-data-dependent kernel greedy interpolation in Sobolev Reproducing Kernel Hilbert Spaces, 2024. (preprint).

We acknowledge support from the project "Perturbation problems and asymptotics for elliptic differential equations: variational and potential theoretic methods" funded by the European Union - Next Generation EU and by MUR Progetti di Ricerca di Rilevante Interesse Nazionale (PRIN) Bando 2022 grant 2022SENJZ3.