activity
20172022
most citedDesingularization of Clifford Torus and Nonradial Solutions to Yamabe Problem with Maximal Rank

1 citations · 1 across the 3 of their papers we have counts for

collaborators

8 papers

math.AP2022

Segregated solutions for a critical elliptic system with a small interspecies repulsive force

Haixia Chen, Maria Medina, Angela Pistoia

We consider the elliptic system when and $β:=β_{i(q+1…

math.AP2021

Interacting helical traveling waves for the Gross-Pitaevskii equation

Juan Dávila, Manuel del Pino, María Medina +1

We consider the 3D Gross-Pitaevskii equation \begin{equation}\nonumber i\partial_t ψ+Δψ+(1-|ψ|^2)ψ=0 \text{ for } ψ:\mathbb{R}\times \mathbb{R}^3 \rightarrow \mathbb{C} \end{equati…

math.AP2020

Large conformal metrics with prescribed Gaussian and geodesic curvatures

Luca Battaglia, Maria Medina, Angela Pistoia

We consider the problem of prescribing Gaussian and geodesic curvatures for a conformal metric on the unit disk. This is equivalent to solving the following P.D.E. \begin{equation*…

math.AP2020

Equivalence of weak and viscosity solutions in fractional non-homogeneous problems

Begoña Barrios, Maria Medina

We establish the equivalence between the notions of weak and viscosity solutions for non-homogeneous equations whose main operator is the fractional p-Laplacian and the lower order…

math.AP2020

Doubling nodal solutions to the Yamabe equation in with maximal rank

Maria Medina, Monica Musso

We construct a new family of entire solutions to the Yamabe equation $$-Δu=\frac{n(n-2)}{4}|u|^{\frac{4}{n-2}}u \mbox{ in }\mathcal{D}^{1,2}(\mathbb{R}^n).$$ If , our solution…

math.AP2019

Interacting helical vortex filaments in the 3-dimensional Ginzburg-Landau equation

Juan Dávila, Manuel del Pino, Maria Medina +1

For each given , we construct a family of entire solutions , , with helical symmetry to the 3-dimensional complex-valued Ginzburg-Landa…