4 papers
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…
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 $$\left\{ \begin{ar…
Nonradial solutions for the Hénon equation close to the threshold
Pablo Figueroa, Sérgio L. N. Neves
We consider the Hénon problem \begin{equation*} \left\{ \begin{array} - - Δu = |x|^α u^{\frac{N+2+2α}{N-2}-\varepsilon} & \ \ \text{in} \ B_1, \\ u > 0 & \ \ \text{in} \ B_1, \\ u=…
Bubbling solutions for Moser-Trudinger type equations on compact Riemann surfaces
Pablo Figueroa, Monica Musso
We study an elliptic equation related to the Moser-Trudinger inequality on a compact Riemann surface , $$ Δ_g u+λ\Biggl(ue^{u^2}-{1\over |S|} \int_S ue^{u^2} dv_g\Biggl)=0,\…