3 papers
math.AP2022
Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities
Jean Dolbeault, Andres Zuniga
On the Euclidean space, we establish some Weighted Logarithmic Sobolev (WLS) inequalities. We characterize a symmetry range in which optimal functions are radially symmetric, and a…
math.AP2020
A nonlocal isoperimetric problem with density perimeter
Stan Alama, Lia Bronsard, Ihsan Topaloglu +1
We consider the minimization of an energy functional given by the sum of a density perimeter and a nonlocal interaction of Riesz type with exponent , under volume constraint, wh…
math.DS2019
Prescribed energy connecting orbits for gradient systems
Francesca Alessio, Piero Montecchiari, Andres Zuniga
We are concerned with conservative systems for a general class of potentials . Assuming that a given sublevel se…