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 2010 · math.APShow all

4 papers · 2 filters

math.AP2010★ 4 cited

A note on $n$ -axially symmetric harmonic maps from $B^{3}$ to $S^{2}$ minimizing the relaxed energy

Luca Martinazzi

For any n>1 we give an explicit example of an n-axially symmetric Cartesian current in B^3 x S^2 with non-trivial vertical part and non-constant graph part minimizing the relaxed D…

math.AP2010

A Note on Quasilinear Parabolic Equations on Manifolds

Carlo Mantegazza, Luca Martinazzi

We prove short time existence, uniqueness and continuous dependence on the initial data of smooth solutions of quasilinear locally parabolic equations of arbitrary even order on cl…

math.AP2010★ 12 cited

Quantization for the prescribed Q-curvature equation on open domains

Luca Martinazzi

We discuss compactness, blow-up and quantization phenomena for the prescribed $Q$ -curvature equation $(- Δ)^{m} u_{k} = V_{k} e^{2 m u_{k}}$ on open domains of $R 2 m$ . Under natural integral a…

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…

A note on n-axially symmetric harmonic maps from B3 to S2 minimizing the relaxed energy

A Note on Quasilinear Parabolic Equations on Manifolds

Quantization for the prescribed Q-curvature equation on open domains

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

A note on $n$ -axially symmetric harmonic maps from $B^{3}$ to $S^{2}$ minimizing the relaxed energy