Andres Zuniga Postdoctoral Fellow in the Analysis and PDE group Department of Mathematics and Statistics McMaster University 1280 Main Street West, Hamilton, ON, L8S 4K1 Hamilton Hall 407 zuniga1@mcmaster.ca 1.905.525.9140 x 26079 Español  English

A complete list - in pdf format - of preprints and publications is available here.

Publications

A nonlocal isoperimetric problem with density perimeter. In collaboration with Stan Alama, Lia Bronsard, and Ihsan Topaloglu.
Submitted for publication (July 2020). arXiv preprint.


Prescribed energy connecting orbits for gradient systems. In collaboration with Francesca Alessio and Piero Montecchiari.
Discrete Contin. Dyn. Syst., vol. 39, no. 8, pp. 4895--4928, 2019. - arXiv preprint - HAL. doi: 10.3934/dcds.2019200


Continuity of minimizers to weighted least gradient problems.
Nonlinear Anal., vol. 178, pp. 86--109, 2019. - arXiv preprint. doi: 10.1016/j.na.2018.07.011


On the heteroclinic connection problem for multi-well gradient systems. In collaboration with Peter Sternberg.
J. Differential Equations, vol. 261, no. 7, pp. 3987--4007, 2016.- arXiv preprint. doi: 10.1016/j.jde.2016.06.010


A two-end family of solutions for the inhomogeneous Allen-Cahn equation in \(\mathbb{R}^2\). In collaboration with Oscar Agudelo.
J. Differential Equations, vol. 256, no. 1, pp. 157--207, 2014. - arXiv preprint. doi: 10.1016/j.jde.2013.08.018

Collaborations in Progress

Symmetry for a weighted logarithmic Hardy inequality: carré du champ method, with Jean Dolbeault.


Symmetry breaking in interpolation inequalities: the porous medium case, with Jean Dolbeault and Matteo Muratori.


Weighted porous medium diffusion equation: Sharp asymptotic rates of convergence by entropy methods, with Jean Dolbeault and Matteo Muratori.


On the stability of radial solutions of an anisotropic Ginzburg-Landau equation arising from the study of umbilical defects in nematic liquid crystals, with Xavier Lamy.

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