56 citations · 77 across the 16 of their papers we have counts for
22 papers
On the classification of solutions to a class of -Liouville equations in
Giulio Ciraolo, Pierpaolo Esposito, Xiaoliang Li
Given and , we consider the following weighted Liouville-type equation involving the -Laplacian: \begin{equation*} \left\{ \begin{aligned} -& Δ_N u = |x|^{Nα} e^…
The quasi-linear Brezis-Nirenberg problem in low dimensions
Sabina Angeloni, Pierpaolo Esposito
We discuss existence results for a quasi-linear elliptic equation of critical Sobolev growth [H. Brezis, L. Nirenberg, Positive solutions of nonlinear elliptic equations involving…
The Green function for p-Laplace operators
Sabina Angeloni, Pierpaolo Esposito
On a bounded domain , , we consider existence, uniqueness and "regularity" issues for the Green function of the quasi-linear operator $u \to -…
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…
Isolated singularities for the n-Liouville equation
Pierpaolo Esposito
In dimension n isolated singularities -- at a finite point or at infinity -- for solutions of finite total mass to the n-Liouville equation are of logarithmic type. As a consequenc…
Critical metrics for Log-determinant functionals in conformal geometry
Pierpaolo Esposito, Andrea Malchiodi
We consider critical points of a class of functionals on compact four-dimensional manifolds arising from Regularized Determinants for conformally covariant operators, whose explici…