2 citations · 2 across the 3 of their papers we have counts for
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Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization
Giovanni Di Fratta, Antonin Monteil, Valeriy Slastikov
We consider -valued maps on a domain minimizing a perturbation of the Dirichlet energy with vertical penalization in and horizontal penaliz…
A necessary condition in a De Giorgi type conjecture for elliptic systems in infinite strips
Radu Ignat, Antonin Monteil
Given a bounded Lipschitz domain and a lower semicontinuous function that vanishes on a finite set and tha…
A DeGiorgi type conjecture for minimal solutions to a nonlinear Stokes equation
Radu Ignat, Antonin Monteil
We study the one-dimensional symmetry of solutions to the nonlinear Stokes equation $$ \begin{cases} -Δu+\nabla W(u)=\nabla p&\text{in }\mathbb{R}^d,\\ \nabla\cdot u=0&\text{in }\m…
Metric methods for heteroclinic connections in infinite dimensional spaces
Antonin Monteil, Filippo Santambrogio
We consider the minimal action problem min \int\_R 1/2 |'|^2 + W() dt among curves lying in a non-locally-compact metric space and connecting two given zeros of W 0. Fo…