3 citations · 5 across the 5 of their papers we have counts for
8 papers
Harnack inequalities and quantization properties for the n-Liouville equation
Pierpaolo Esposito, Marcello Lucia
We consider a quasilinear equation involving the Laplacian and an exponential nonlinearity, a problem that includes the celebrated Liouville equation in the plane as a special…
Donaldson Functional in Teichmüller Theory
Zheng Huang, Marcello Lucia, Gabriella Tarantello
In this paper we define a Donaldson type functional whose Euler-Lagrange equations are a system of differential equations which corresponds to Hitchin's self-duality equations for…
Criticality theory for Schrodinger operators with singular potential
S Prashanth, Marcello Lucia
In a seminal work, B. Simon provided a classification of nonnegative Schrödinger operators into subcritical and critical operators based on the long-term behaviour of the as…
Antisymmetry of solutions for some weighted elliptic problems
Xavier Cabre, Marcello Lucia, Manel Sanchon +1
This article concerns the antisymmetry, uniqueness, and monotonicity properties of solutions to some elliptic functionals involving weights and a double well potential. In the one-…
Ergodicity and spectral cascades in point vortex flows on the sphere
David G. Dritschel, Marcello Lucia, Andrew C. Poje
We present results for the equilibrium statistics and dynamic evolution of moderately large () numbers of interacting point vortices on the unit sph…
The -Royden and -harmonic boundaries for metric measure spaces
Marcello Lucia, Michael Puls
Let be a real number greater than one and let be a locally compact, noncompact metric measure space that satisfies certain conditions. The -Royden and -harmonic bound…