Mircea Petrache

activity

20092026

most citedNext Order Asymptotics and Renormalized Energy for Riesz Interactions

93 citations · 187 across the 31 of their papers we have counts for

collaborators

Showing 2010 · math.APShow all

3 papers · 2 filters

math.AP2010

An integrability result for $L^{p}$ -vectorfields in the plane

Mircea Petrache

We prove that if $p > 1$ then the divergence of a $L^{p}$ -vectorfield $V$ on a 2-dimensional domain $Ω$ is the boundary of an integral 1-current, if and only if $V$ can be represented…

math.AP2010

Weak closure of Singular Abelian $L^{p}$ -bundles in $3$ dimensions

Mircea Petrache, Tristan Rivière

We prove the closure for the sequential weak $L^{p}$ -topology of the class of vectorfields on $B^{3}$ having integer flux through almost every sphere. We show how this problem is conne…

math.AP2010

Existence of solutions to a higher dimensional mean-field equation on manifolds

Luca Martinazzi, Mircea Petrache

For $m \geq 1$ we prove an existence result for the equation $(- Δ_{g})^{m} u + λ = λ \frac{e ^{2 m u}}{\int _{M} e ^{2 m u} d μ _{g}}$ on a closed Riemannian manifold $(M, g)$ of dimension $2 m$ for certa…

An integrability result for Lp-vectorfields in the plane

Weak closure of Singular Abelian Lp-bundles in 3 dimensions

Existence of solutions to a higher dimensional mean-field equation on manifolds

An integrability result for $L^{p}$ -vectorfields in the plane

Weak closure of Singular Abelian $L^{p}$ -bundles in $3$ dimensions