1.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Istituto di Fotonica e NanotecnologieIT287 papers
- University of MilanIT253 papers
- Centre National de la Recherche ScientifiqueFR237 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di MilanoIT232 papers
- Sapienza University of RomeIT155 papers
- Italian Institute of TechnologyIT125 papers
- University of Milano-BicoccaIT115 papers
- National Research CouncilLK111 papers
- University of GenoaIT102 papers
- University of Rome Tor VergataIT102 papers
- University of BolognaIT101 papers
- University of Naples Federico IIIT97 papers
14 papers · 2 filters
Bifurcation and segregation in quadratic two-populations Mean Field Games systems
Marco Cirant, Gianmaria Verzini
We search for non-constant normalized solutions to the semilinear elliptic system \[ \begin{cases} - νΔv_i + g_i(v_j^2) v_i = λ_i v_i,\quad v_i>0 & \text{in } \\ \partial_n v_i…
Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds
Paolo Mastrolia, Dario D. Monticelli, Fabio Punzo
We investigate existence and uniqueness of bounded solutions of parabolic equations with unbounded coefficients in , where is a complete noncompact Riemann…
Inverse boundary value problem for the Helmholtz equation: quantitative conditional Lipschitz stability estimates
Elena Beretta, Maarten V. de Hoop, Florian Faucher +1
We study the inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map at selected frequencies as the data. A conditional Lipschitz stability est…
Regularity of the free boundary for two-phase problems governed by divergence form equations and applications
Daniela De Silva, Fausto Ferrari, Sandro Salsa
We study a class of two-phase inhomogeneous free boundary problems governed by elliptic equations in divergence form. In particular we prove that Lipschitz or flat free boundaries…
Characterization of stadium-like domains via boundary value problems for the infinity Laplacian
Graziano Crasta, Ilaria Fragalà
We give a complete characterization, as "stadium-like domains", of convex subsets of where a solution exists to Serrin-type overdetermined boundary value problem…
Weighted interpolation inequalities: a perturbation approach
Jean Dolbeault, Matteo Muratori, Bruno Nazaret
We study optimal functions in a family of Caffarelli-Kohn-Nirenberg inequalities with a power-law weight, in a regime for which standard symmetrization techniques fail. We establis…
Asymptotic Expansion for Harmonic Functions in the Half-Space with a Pressurized Cavity
Andrea Aspri, Elena Beretta, Corrado Mascia
In this paper, we address a simplified version of a problem arising from volcanology. Specifically, as reduced form of the boundary value problem for the Lamé system, we consider a…
A regularity result for the inhomogeneous normalized infinity Laplacian
Graziano Crasta, Ilaria Fragalà
We prove that the unique solution to the Dirichlet problem with constant source term for the inhomogeneous normalized infinity Laplacian on a convex domain of is of…
Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface
M. Di Cristo, E. Francini, C. -L. Lin +2
In this paper we prove a local Carleman estimate for second order elliptic equations with a general anisotropic Lipschitz coefficients having a jump at an interface. Our approach d…
Stability for Quantitative Photoacoustic Tomography with well chosen illuminations
Giovanni Alessandrini, Michele Di Cristo, Elisa Francini +1
We treat the stability issue for the three dimensional inverse imaging modality called Quantitative Photoacoustic Tomography. We provide universal choices of the illuminations whic…
Stability analysis of abstract systems of Timoshenko type
Valeria Danese, Filippo Dell'Oro, Vittorino Pata
We consider an abstract system of Timoshenko type $$ \begin{cases} ρ_1{\ddot φ} + a A^{\frac12}(A^{\frac12}φ+ ψ) =0\\ ρ_2{\ddot ψ} + b A ψ+ a (A^{\frac12}φ+ ψ) - δA^γθ = 0\\ ρ_3{\d…
Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian
Carlos Escudero, Filippo Gazzola, Ireneo Peral
We consider a partial differential equation that arises in the coarse-grained description of epitaxial growth processes. This is a parabolic equation whose evolution is governed by…
Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds
P. Mastrolia, D. D. Monticelli, F. Punzo
We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact Riemannian manifolds.…
On a nonlinear nonlocal hyperbolic system modeling suspension bridges
Gianni Arioli, Filippo Gazzola
We suggest a new model for the dynamics of a suspension bridge through a system of nonlinear nonlocal hyperbolic differential equations. The equations are of second and fourth orde…