6 citations · 6 across the 2 of their papers we have counts for
5 papers · 1 filter
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…
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…
Continuity of minimizers to weighted least gradient problems
Andres Zuniga
We revisit the question of existence and regularity of minimizers to weighted least gradient problems on a fixed bounded domain, subject to a Dirichlet boundary condition, in the c…
On the heteroclinic connection problem for multi-well gradient systems
Andres Zuniga, Peter Sternberg
We revisit the existence problem of heteroclinic connections in associated with Hamiltonian systems involving potentials having severa…
A two end family of solutions for the Inhomogeneous Allen-Cahn equation in R^2
Oscar Agudelo, Andres Zuniga
In this work we construct a family of entire bounded solution for the singulary perturbed Inhomogeneous Allen-Cahn Equation $\ep^2÷\left(a(x)\nabla u\right)-a(x)F'(u)=0$ in ,…