Luca Battaglia

activity

20132026

most citedExistence of groundstates for a class of nonlinear Choquard equations in the plane

38 citations · 135 across the 21 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AP2019★ 1 cited

Asymptotic behavior of minimal solutions of $- Δ u = λ f (u)$ as $λ \to - \infty$

Luca Battaglia, Francesca Gladiali, Massimo Grossi

We consider the Dirichlet problem $- Δ u = λ f (u)$ with $λ < 0$ and $f$ non-negative and non-decreasing. We show existence and uniqueness of solutions $u_{λ}$ for any $λ$ and discuss their…

math.AP2019

A double mean field equation related to a curvature prescription problem

Luca Battaglia, Rafael López-Soriano

We study a double mean field-type PDE related to a prescribed curvature problem on compacts surfaces with boundary. We provide a general blow-up analysis, then a Moser-Trudinger in…

math.AP2019

Non-uniqueness of blowing-up solutions to the Gelfand problem

Luca Battaglia, Massimo Grossi, Angela Pistoia

We consider the Gelfand problem on a planar domain. Under some conditions on the potential, we provide the first examples of multiplicity for blowing-up solutions at a given point…

Asymptotic behavior of minimal solutions of −Δu=λf(u) as λ→−∞

A double mean field equation related to a curvature prescription problem

Non-uniqueness of blowing-up solutions to the Gelfand problem

Asymptotic behavior of minimal solutions of $- Δ u = λ f (u)$ as $λ \to - \infty$