M. Dalla Riva, P. Luzzini, R. Molinarolo, P. Musolino, Shape perturbation of a nonlinear mixed problem for the heat equation, J. Evol. Equ. 25 (2025), no. 1, Paper No. 18. (preprint, published).
M. Dalla Riva, P. Luzzini, R. Molinarolo, P. Musolino, Multi-parameter perturbations for the space-periodic heat equation Commun. Pure Appl. Anal., 2024 (preprint).
M. Dalla Riva, M. Lanza de Cristoforis, P. Musolino, Regularity properties of certain convolution operators in Hölder spaces, 2025 (preprint).
M. Costabel, M. Dalla Riva, M. Dauge, P. Musolino, Dirichlet problem on perturbed conical domains via converging generalized power series, 2025 (preprint).
M. Dalla Riva, P. D. Lamberti, P. Luzzini, P. Musolino, Shape sensitivity analysis of Neumann-Poincaré eigenvalues, 2025, (preprint).
R. Bramati, M. Dalla Riva, P. Luzzini, P. Musolino, Periodic layer potentials and domain perturbations, 2025 (preprint).
F. Pacella, C.C. Polvara, L. Provenzano, Bifurcation from bubbles in nonconvex cones, 2025 (preprint).
D. Buoso, R. Molinarolo, On the eigenvalues of the biharmonic operator on annuli, https://doi.org/10.1007/s10958-025-08067-7, 2025 (preprint, published).
F. Gladiali, M. Grossi, L. Provenzano, The role of the curvature of a surface in the shape of the solutions to elliptic equations, 2025 (preprint).
F. Ferraresso, L. Provenzano, A note on the Maxwell's eigenvalues on thin sets, 2025 (preprint).
D. Buoso, P. Freitas, Sharp inequalities and asymptotics for polyharmonic eigenvalues, Calc. Var. PDE, 2025 (preprint, published).
A. DelaTorre, G. Mancini, A. Pistoia, L. Provenzano, A note on the first Steklov eigenvalue on planar domains, 2025 (preprint).
P.D. Lamberti, L. Provenzano, H²-regularity on convex domains for Robin eigenfunctions with parameter of arbitrary sign, J. Math. Sci., doi:https://doi.org/10.1007/s10958-025-08035-1, 2025 (preprint, published).
A. DelaTorre, G. Mancini, A. Pistoia, L. Provenzano, Non-degeneracy of the bubble in a fractional and singular 1d Liouville problem, 2025 (preprint).
B. Colbois, L. Provenzano, A. Savo, Magnetic ground states and the conformal class of a surface, 2025 (preprint).
P.D. Lamberti, L. Provenzano, H²-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity, 2025 (preprint).
L. Provenzano, J. Stubbe, Sum rules and sharp eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds, Ann. Glob. Anal. Geom., 2025 (preprint).
D. Buoso, F. Ferraresso, Spectral convergence analysis for the Reissner-Mindlin system in any dimension, Journal of Differential Equations (2025), 422, pp. 386–425 (preprint, published).
F. Lanzara, E. Montefusco, E. Spadaro, V. Nesi, Generic configurations in 2D strongly competing systems, 2024 (preprint).
A. Enciso, A. Pistoia, L. Provenzano, Nonexistence of Courant-type nodal domain bounds for eigenfunctions of the Dirichlet-to-Neumann operator, J. Eur. Math. Soc., 2025 (preprint).
L. Provenzano, A. Savo, Geometry of the magnetic Steklov problem on Riemannian annuli, Commun. Contemp. Math., 2024 (preprint).
B. Colbois, C. Léna, L. Provenzano, A. Savo, A reverse Faber-Krahn inequality for the magnetic Laplacian, J. Math. Pures Appl., 2024. (preprint)
L. Battaglia, A. Pistoia, L. Provenzano, On the critical points of Steklov eigenfunctions, Ann. Mat. Pura Appl., 2025. (preprint).
P.D. Lamberti, P. Luzzini, M. Zaccaron, Permittivity optimization for Maxwell’s eigenvalues, 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).
M. Lanza de Cristoforis, M. Norman, Hölder regularity of the solutions of Fredholm integral equations on upper Ahlfors regular sets, 2025 (preprint).
M. Lanza de Cristoforis, A nonvariational Neumann problem for the Helmholtz equation, Annali di Matematica Pura ed Applicata, 2025. (preprint, published).
M. Lanza de Cristoforis, A nonvariational form of the acoustic single layer potential, Communications on Pure and Applied Analysis, doi: 10.3934/cpaa.2025107, 2025 (preprint, published).
M. Lanza de Cristoforis, A uniqueness theorem for nonvariational solutions of the Helmholtz equation, Applicable Analysis, 1–27, 2025 (preprint, published).
M. Lanza de Cristoforis, A limiting case of a theorem of C. Miranda for layer potentials in Schauder spaces, to appear in: Integral Methods in Science and Engineering - Study and Solutions of Mathematical Models, C. Constanda, B.E.J. Bodmann and P.J. Harris (eds.), pp. 209--228, Birkhäuser, Springer, Cham, 2025 (preprint).
R. Molinarolo, Existence result for a nonlinear mixed boundary value problem for the heat equation, J. Math. Anal. Appl. 543, 2024, 128878 (preprint, publication).
M. Lanza de Cristoforis, The volume potential for elliptic differential operators in Schauder spaces, J. Math. Sci., doi: https://doi.org/10.1007/s10958-025-07737-w, 2025 (preprint, published).
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, Exact and Approximate Solutions for Mathematical Models in Science and Engineering, C. Constanda, P. Harris, B. Bodmann (eds.), pp. 95-125, Birkhäuser, Springer, Cham, 2024 (preprint).
M. Lanza de Cristoforis, A nonvariational form of the Neumann problem for Hölder continuous harmonic functions, Journal of Differential Equations 424 (2025) 263–329. (preprint, publication).
M. Lanza de Cristoforis, A nonvariational form of the Neumann problem for the Poisson equation, Complex Var. Elliptic Equ., https://doi.org/10.1080/17476933.2024.2401823, 2024 (preprint, publication).
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. 70 No.~3 (2024), 369--398 (preprint, publication).
V. Leonessa, A. Malaspina, On the Dirichlet problem for the system of thermoelasticity with microtemperatures, 2025, submitted.
A. Cialdea, C.S. Mare, Completeness theorems in the uniform norm for a parabolic equation, J. Math. Sci., https://doi.org/10.1007/s10958-025-08094-4, 2025 (published)
S. Guastavino, G. Santin, F. Marchetti, F. Benvenuto, Weak convergence rates for spectral regularization via sampling inequalities, 2025 (preprint).
F. Lanzara, V. Maz'ya, G. Schmidt, Fast Computation of Volume Potentials by Approximate Approximations, Lecture Notes in Mathematics, Springer (2025) (publication).
A. Cialdea, F. Lanzara, Completeness theorems related to BVPs satisfying the Lopatinskii condition for higher order elliptic equations, Constr. Math. Anal. (2024) (publication).
F. Lanzara, Accurate Computation of Multi-Dimensional Riesz Potentials, Lecture Notes of TICMI (2024) (publication).
G. Santin, T. Wenzel, B. Haasdonk, On the optimality of target-data-dependent kernel greedy interpolation in Sobolev Reproducing Kernel Hilbert spaces, SIAM Journal on Numerical Analysis, 62(5):2249–2275, 2024 (preprint)
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).
T. Karvonen, G. Santin, T. Wenzel, General superconvergence for kernel-based approximation, 2025 (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.