53 citations · 63 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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 , then tha…
Conformal metrics on with constant Q-curvature
Luca Martinazzi
We study the conformal metrics on with constant Q-curvature having finite volume, particularly in the case . We show that when such metrics exist in $\…
The non-parametric problem of Plateau in arbitrary codimension
Luca M. Martinazzi
We study the problem of finding a minimal graph with prescribed boundary data in arbitrary dimension and codimension. Existence, uniqueness, stability and regularity are treated. W…