2 papers
math.AP2026
Gradient estimates for singular elliptic measure data problems with double phase
Kyeong Song, Yeonghun Youn, Anna Zatorska-Goldstein
We consider elliptic measure data problems of the type \[ -\mathrm{div}\,(|Du|^{p-2}Du+a(x)|Du|^{q-2}Du) = μ\] in a bounded domain in , where and $a(\cdot) \ge…
math.AP2024
Measure data systems with Orlicz growth
Iwona Chlebicka, Yeonghun Youn, Anna Zatorska-Goldstein
We study the existence of very weak solutions to a system \[\begin{cases}-\mathrm{div} \mathcal{A}(x,D\mathbf{u})=\mathbfμ\quad\text{in }\ Ω, \mathbf{u}=0\quad\text{on }\ \partia…