44 citations · 218 across the 75 of their papers we have counts for
9 papers · 1 filter
An upper bound for the least energy of a nodal solution to the Yamabe equation on the sphere
Mónica Clapp, Angela Pistoia, Tobias Weth
For each we establish the existence of a nodal solution to the Yamabe problem on the round sphere which satisfies $$\int_{\mathbb{S}^n}|u|^{2^*}dV_…
Normalized concentrating solutions to nonlinear elliptic problems
Benedetta Pellacci, Angela Pistoia, Giusi Vaira +1
We prove the existence of solutions of the elliptic problem \[ \begin{cases} -Δv+(V(x)+λ) v =v^{p}\ &\text{ in } \ v>0,\qquad \int_Ωv^2\…
Non-degeneracy for the critical Lane-Emden system
Rupert L. Frank, Seunghyeok Kim, Angela Pistoia
We prove the non-degeneracy for the critical Lane--Emden system for all and such th…
A perturbative approach to non-degeneracy of the Lane-Emden system
Seunghyeok Kim, Angela Pistoia
We consider ground state solutions of the critical Lane-Emden system \[\begin{cases} -Δu = v^p &\text{in } \mathbb{R}^n,\\ -Δv = u^q &\text{in } \mathbb{R}^n,\\ u,v >0\ &\text{in }…
Peaked and low action solutions of NLS equations on graphs with terminal edges
Simone Dovetta, Marco Ghimenti, Anna Maria Micheletti +1
We consider the nonlinear Schrödinger equation with focusing power-type nonlinearity on compact graphs with at least one terminal edge, i.e. an edge ending with a vertex of degree…
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…