11 citations · 11 across the 3 of their papers we have counts for
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Symmetry and monotonicity of singular solutions of double phase problems
Stefano Biagi, Francesco Esposito, Eugenio Vecchi
We consider positive singular solutions of PDEs arising from double phase functionals. Exploiting a rather new version of the moving plane method originally developed by Sciunzi, w…
Pohozaev-type identities for differential operators driven by homogeneous vector fields
Stefano Biagi, Andrea Pinamonti, Eugenio Vecchi
We prove Pohozaev-type identities for smooth solutions of Euler-Lagrange equations of second and fourth order that arise from functional depending on homogeneous Hörmander vector f…
Semilinear elliptic equations involving mixed local and nonlocal operators
Stefano Biagi, Serena Dipierro, Enrico Valdinoci +1
In this paper, we consider an elliptic operator obtained as the superposition of a classical second-order differential operator and a nonlocal operator of fractional type. Though t…
A symmetry result for cooperative elliptic systems with singularities
Stefano Biagi, Enrico Valdinoci, Eugenio Vecchi
We obtain symmetry results for solutions of an elliptic system of equation possessing a cooperative structure. The domain in which the problem is set may possess "holes" or "small…
A symmetry result for polyharmonic problems with Navier conditions
Stefano Biagi, Enrico Valdinoci, Eugenio Vecchi
We consider an elliptic polyharmonic problem of any order which takes place in a punctured bounded domain with Navier conditions. We prove that if the domain is convex in one direc…
Symmetry and rigidity for the hinged composite plate problem
Francesca Colasuonno, Eugenio Vecchi
The composite plate problem is an eigenvalue optimization problem related to the fourth order operator . In this paper we continue the study started in [10], focusing on sy…