199 citations · 665 across the 32 of their papers we have counts for
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A note on -axially symmetric harmonic maps from to 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…
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…
Gamma-convergence of nonlocal perimeter functionals
Luigi Ambrosio, Guido De Philippis, Luca Martinazzi
We prove that certain non-local functionals defined on measurable sets Gamma-converge to the perimeter in the sense of De Giorgi.
Quantization for the prescribed Q-curvature equation on open domains
Luca Martinazzi
We discuss compactness, blow-up and quantization phenomena for the prescribed -curvature equation on open domains of . Under natural integral a…
Quantization for an elliptic equation of order 2m with critical exponential non-linearity
Luca Martinazzi, Michael Struwe
On a smoothly bounded domain we consider a sequence of positive solutions in to the equation $(-Δ)^m u_k=λ_k u_k e^…
Existence of solutions to a higher dimensional mean-field equation on manifolds
Luca Martinazzi, Mircea Petrache
For we prove an existence result for the equation on a closed Riemannian manifold of dimension for certa…