AbstractWe consider the classical solutions of-Δv=αev-βin Ω,where Ω is a bounded open set in R2. This equation is related to geometry and several fields of physics and has significant applications in the theory of plasma. We derive some uniqueness results and a priori estimate by using the classical isoperimetric inequality and the blow up analysis
We are concerned with the mean field equation with singular data on bounded domains. By assuming a s...
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that s...
We study the uniqueness of solutions to systems of PDEs arising in Mean Field Games with several pop...
AbstractWe consider on a two-dimensional flat torus T the following equationΔu+ρ(eu∫Teu−1|T|)=0. Whe...
We prove uniqueness of solutions for mean field equations (Caglioti et. Al. Comm. Math. Phys. 174 (1...
We prove the uniqueness of blow up solutions of the mean field equation as rn ! 8pm, m 2 N. If un,1 ...
We consider the mean field equation: Δu + ρ u = 0 e u e u Ω = 0 in Ω, (1) on ∂Ω, where Ω ⊂ ...
We consider the mean field equation: Δu + ρ u = 0 e u e u Ω = 0 in Ω, (1) on ∂Ω, where Ω ⊂ ...
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that s...
Motivated by the study of gauge field vortices we consider a mean field equation on the standard two...
In this paper we construct single and multiple blowing-up solutions to the mean field equation $-\De...
AbstractA uniqueness result about the Neumann problem −Δu+λu=u5inΔ,∂u/∂ν=0 on∂Ωis obtained, whereΩ⊂R...
We force uniqueness in finite state mean field games by adding a Wright–Fisher common noise. We achi...
The aim of this paper is to complete the program initiated in [51], [23] and then carried out by sev...
We are concerned with the mean field equation with singular data on bounded domains. By assuming a s...
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that s...
We study the uniqueness of solutions to systems of PDEs arising in Mean Field Games with several pop...
AbstractWe consider on a two-dimensional flat torus T the following equationΔu+ρ(eu∫Teu−1|T|)=0. Whe...
We prove uniqueness of solutions for mean field equations (Caglioti et. Al. Comm. Math. Phys. 174 (1...
We prove the uniqueness of blow up solutions of the mean field equation as rn ! 8pm, m 2 N. If un,1 ...
We consider the mean field equation: Δu + ρ u = 0 e u e u Ω = 0 in Ω, (1) on ∂Ω, where Ω ⊂ ...
We consider the mean field equation: Δu + ρ u = 0 e u e u Ω = 0 in Ω, (1) on ∂Ω, where Ω ⊂ ...
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that s...
Motivated by the study of gauge field vortices we consider a mean field equation on the standard two...
In this paper we construct single and multiple blowing-up solutions to the mean field equation $-\De...
AbstractA uniqueness result about the Neumann problem −Δu+λu=u5inΔ,∂u/∂ν=0 on∂Ωis obtained, whereΩ⊂R...
We force uniqueness in finite state mean field games by adding a Wright–Fisher common noise. We achi...
The aim of this paper is to complete the program initiated in [51], [23] and then carried out by sev...
We are concerned with the mean field equation with singular data on bounded domains. By assuming a s...
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that s...
We study the uniqueness of solutions to systems of PDEs arising in Mean Field Games with several pop...