L. Martinazzi

activity

20042026

most citedGamma-convergence of nonlocal perimeter functionals

199 citations · 665 across the 32 of their papers we have counts for

collaborators

Showing 2008 · math.APShow all

3 papers · 2 filters

math.AP2008★ 53 cited

Concentration-compactness phenomena in the higher order Liouville's equation

Luca Martinazzi

We investigate different concentration-compactness phenomena related to the Q-curvature in arbitrary even dimension. We first treat the case of an open domain in $R^{2 m}$ , then tha…

math.AP2008★ 9 cited

Conformal metrics on $R^{2 m}$ with constant Q-curvature

Luca Martinazzi

We study the conformal metrics on $R^{2 m}$ with constant Q-curvature $Q$ having finite volume, particularly in the case $Q \leq 0$ . We show that when $Q < 0$ such metrics exist in $\…

math.AP2008★ 89 cited

Classification of solutions to the higher order Liouville's equation on R^{2m}

Luca Martinazzi

We classify the solutions to the equation (- Δ)^m u=(2m-1)!e^{2mu} on R^{2m} giving rise to a metric g=e^{2u}g_{R^{2m}} with finite total $Q$ -curvature in terms of analytic and geo…

Concentration-compactness phenomena in the higher order Liouville's equation

Conformal metrics on R2m with constant Q-curvature

Classification of solutions to the higher order Liouville's equation on R^{2m}

Conformal metrics on $R^{2 m}$ with constant Q-curvature