5 citations · 9 across the 4 of their papers we have counts for
4 papers
Convexity for free boundaries with singular term (nonlinear elliptic case)
Seongmin Jeon, Henrik Shahgholian
We consider a free boundary problem in an exterior domain \begin{cases}\begin{array}{cc} Lu=g(u) & \text{in }Ω\setminus K, \\ u=1 & \text{on }\partial K,\\ |\nabla u|=0 &\text{on }…
Almost minimizers for the thin obstacle problem with variable coefficients
Seongmin Jeon, Arshak Petrosyan, Mariana Smit Vega Garcia
We study almost minimizers for the thin obstacle problem with variable Hölder continuous coefficients and zero thin obstacle and establish their regularity on the either…
Almost minimizers for the thin obstacle problem
Seongmin Jeon, Arshak Petrosyan
We consider Anzellotti-type almost minimizers for the thin obstacle (or Signorini) problem with zero thin obstacle and establish their regularity on the either side of th…
Almost minimizers for certain fractional variational problems
Seongmin Jeon, Arshak Petrosyan
In this paper we introduce a notion of almost minimizers for certain variational problems governed by the fractional Laplacian, with the help of the Caffarelli-Silvestre extension.…