activity
20122023
most citedSingular mean field equations on compact Riemann surfaces

2 citations · 3 across the 7 of their papers we have counts for

collaborators

10 papers

math.AP2023★ 1 cited

Sign-changing solutions for the sinh-Poisson equation with Robin Boundary condition

Pablo Figueroa, Leonelo Iturriaga, Erwin Topp

Given and , we address the existence of solutions for the Sinh-Poisson equation with Robin boundary value condition $$ \begin{cases} Δu+ε^2 (e^{u} - e^{-u})=0 &\…

math.AP2023

Sign-changing bubble tower solutions for sinh-Poisson type equations on pierced domains

Pablo Figueroa

For asymmetric sinh-Poisson type problems with Dirichlet boundary condition arising as a mean field equation of equilibrium turbulence vortices with variable intensities of interes…

math.AP2022

Bubbling solutions for mean field equations with variable intensities on compact Riemann surfaces

Pablo Figueroa

For an asymmetric sinh-Poisson problem arising as a mean field equation of equilibrium turbulence vortices with variable intensities of interest in hydrodynamic turbulence, we addr…

math.CA2021

On a Poincaré-Perron problem for high order differential equation

H. Bustos, P. Figueroa, Manuel Pinto

We address asymptotic formulae for the classical Poincaré-Perron problem of linear differential equations with almost constant coefficients in a half line for high…

math.AP2019

A note on a sinh-Poisson type equation with variable intensities on pierced domains

P. Figueroa

We consider a sinh-Poisson type equation with variable intensities and Dirichlet boundary condition on a pierced domain \begin{equation*} \left\{ \begin{array}{ll} Δu +ρ\left(V_1(x…

math.AP2019

On the mean field equation with variable intensities on pierced domains

Pierpaolo Esposito, Pablo Figueroa, Angela Pistoia

We consider the two-dimensional mean field equation of the equilibrium turbulence with variable intensities and Dirichlet boundary condition on a pierced domain $$\left\{ \begin{ar…

math.AP2017

Nonradial solutions for the Hénon equation close to the threshold

Pablo Figueroa, Sérgio L. N. Neves

We consider the Hénon problem \begin{equation*} \left\{ \begin{array} - - Δu = |x|^α u^{\frac{N+2+2α}{N-2}-\varepsilon} & \ \ \text{in} \ B_1, \\ u > 0 & \ \ \text{in} \ B_1, \\ u=…

math.AP2017

Bubbling solutions for Moser-Trudinger type equations on compact Riemann surfaces

Pablo Figueroa, Monica Musso

We study an elliptic equation related to the Moser-Trudinger inequality on a compact Riemann surface , $$ Δ_g u+λ\Biggl(ue^{u^2}-{1\over |S|} \int_S ue^{u^2} dv_g\Biggl)=0,\…

math.AP2013

Non-topological condensates for the self-dual Chern-Simons-Higgs model

Manuel del Pino, Pierpaolo Esposito, Pablo Figueroa +1

For the abelian self-dual Chern-Simons-Higgs model we address existence issues of periodic vortex configurations -- the so-called condensates-- of non-topological type as …

math.AP2012★ 2 cited

Singular mean field equations on compact Riemann surfaces

Pierpaolo Esposito, Pablo Figueroa

For a general class of elliptic PDE's in mean field form on compact Riemann surfaces with exponential nonlinearity, we address the question of the existence of solutions with conce…