37 citations · 37 across the 6 of their papers we have counts for
6 papers
The size of the sync basin resolved
Pablo Groisman, Cecilia De Vita, Julián Fernández Bonder +1
Sparsely coupled Kuramoto oscillators offer a fertile playground for exploring high-dimensional basins of attraction due to their simple yet multistable dynamics. For identical…
Calderón-Zygmund estimates for higher order elliptic equations in Orlicz-Sobolev spaces
Julián Fernández Bonder, Pablo Ochoa, Analía Silva
In this paper we obtain Calderón-Zygmund estimates for the laplacian of the following fourth order quasilinear elliptic problem where the primitive o…
The energy landscape of the Kuramoto model in random geometric graphs in a circle
Cecilia De Vita, Julián Fernández Bonder, Pablo Groisman
We study the energy function of the Kuramoto model in random geometric graphs defined in the unit circle as the number of nodes diverges. We prove the existence of at least one loc…
Optimal rearrangement problem and normalized obstacle problem in the fractional setting
Julián Fernández Bonder, Zhiwei Cheng, Hayk Mikayelyan
We consider an optimal rearrangement minimization problem involving the fractional Laplace operator , , and Gagliardo-Nirenberg seminorm . We prove the existe…
A Free boundary problem for the - Laplacian
Julián Fernández Bonder, Sandra Martínez, Noemi Wolanski
We consider the optimization problem of minimizing in the class of functions with , for…
Time--space white noise eliminates global solutions in reaction diffusion equations
Julián Fernández Bonder, Pablo Groisman
We prove that perturbing the reaction--diffusion equation (), with time--space white noise produces that solutions explodes with probability one for eve…