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20152021
most citedGround states of semilinear elliptic equations

3 citations · 3 across the 3 of their papers we have counts for

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math.DG2021

Mean curvature flow in homology and foliations of hyperbolic -manifolds

Marco A. M. Guaraco, Vanderson Lima, Franco Vargas Pallete

We study global aspects of the mean curvature flow of non-separating hypersurfaces in closed manifolds. For instance, if has non-vanishing mean curvature, we show its level…

math.DG2018

The Weyl Law for the phase transition spectrum and density of limit interfaces

Pedro Gaspar, Marco A. M. Guaraco

We prove a Weyl Law for the phase transition spectrum based on the techniques of Liokumovich-Marques-Neves. As an application we give phase transition adaptations of the proofs of…

math.DG2015

Min-max for phase transitions and the existence of embedded minimal hypersurfaces

Marco A. M. Guaraco

Strong parallels can be drawn between the theory of minimal hypersurfaces and the theory of phase transitions. Borrowing ideas from the former we extend recent results on the regul…