254 citations · 698 across the 59 of their papers we have counts for
41 papers · 1 filter
Critical points of arbitrary energy for the Trudinger-Moser functional in planar domains
Andrea Malchiodi, Luca Martinazzi, Pierre-Damien Thizy
Given a smoothly bounded non-contractible domain , we prove the existence of positive critical points of the Trudinger-Moser embedding for arbitrary Dirichle…
A note on the critical Laplace Equation and Ricci curvature
Mattia Fogagnolo, Andrea Malchiodi, Lorenzo Mazzieri
We study strictly positive solutions to the critical Laplace equation \[ - Δu = n(n-2) u^{\frac{n+2}{n-2}}, \] decaying at most like , on complete noncompact ma…
Existence and regularity for prescribed Lorentzian mean curvature hypersurfaces, and the Born-Infeld model
Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi +1
Given a measure on a domain , we study spacelike graphs over in Minkowski space with Lorentzian mean curvature and Dirichlet boundary condition o…
On some variational problems involving capacity, torsional rigidity, perimeter and measure
Michiel van den Berg, Andrea Malchiodi
We investigate the existence of a maximiser among open, bounded, convex sets in for the product of torsional rigidity and Newtonian capacity (or logarithmic capacit…
Conformal metrics with prescribed scalar and mean curvature
S. Cruz-Blázquez, A. Malchiodi, D. Ruiz
We consider the case with boundary of the classical Kazdan-Warner problem in dimension greater or equal than three, i.e. the prescription of scalar and boundary mean curvatures via…
Min-max solutions for super sinh-Gordon equations on compact surfaces
Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu
In the present paper we initiate the variational analysis of a super sinh-Gordon system on compact surfaces, yielding the first example of non-trivial solution of min-max type. The…