4 citations · 4 across the 5 of their papers we have counts for
7 papers
A Homogenized Maz'ya--Shaposhnikova formula
Andrea Braides, Marco Picerni, Alec Jacopo Almo Schiavoni Piazza
We study the asymptotic behaviour of fractional Gagliardo-type energies with a periodic, bounded and bounded away from zero coefficient depending on both variables, in the joint li…
Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime
Nicola Gigli, Argam Ohanyan, Marco Picerni +2
We study the directed completion of Lorentzian pre-length spaces, and we show that, under some natural assumptions which cover the case of smooth globally hyperbolic spacetimes, it…
Existence and regularity of solutions to parabolic-elliptic nonlinear systems
Marco Picerni
In this paper we study the existence and summability of the solutions to the following parabolic-elliptic system of partial differential equations with discontinuous coefficients:…
Existence and summability of solutions to nonlinear X-elliptic equations with measurable coefficients
Marco Picerni
We prove an existence result for solutions to a class of nonlinear degenerate-elliptic equations with measurable coefficients and zero Dirichlet boundary condition. The main term i…
Existence, uniqueness, regularity and stability of solutions to linear -elliptic equations with measurable coefficients
Marco Picerni
We prove an existence and uniqueness result for solutions to linear -elliptic equations with data and zero Dirichlet boundary conditions. Such solutions depend continuousl…
Mosco-convergence of convex sets and unilateral problems for differential operators with lower order terms having natural growth
Lucio Boccardo, Maria Antonietta Palladino, Marco Picerni
We study the stability of solutions to a class of variational inequalities posed on obstacle-type convex sets, under Mosco-convergence. More precisely, for a fixed obstacle $ψ\in W…
Analysis for non-local phase transitions close to the critical exponent
Marco Picerni
We analyze the behaviour of double-well energies perturbed by fractional Gagliardo squared seminorms in close to the critical exponent . This is done by computing…