5 citations · 10 across the 8 of their papers we have counts for
19 papers
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…
Riesz potential estimates for mixed local-nonlocal problems with measure data
Iwona Chlebicka, Kyeong Song, Yeonghun Youn +1
We study gradient regularity for mixed local-nonlocal problems modelled upon \[ -Δ_p u +(-Δ_p)^su=μ\qquad\text{for} \quad 2-\tfrac{1}{n}<p<\infty\quad \text{and}\quad s\in(0,1)\,,\…
The Free Material Design problem for stationary heat equation on low dimensional structures
Tomasz Lewiński, Piotr Rybka, Anna Zatorska-Goldstein
For a given balanced distribution of heat sources and sinks, , we find an optimal conductivity tensor field, , minimizing the thermal compliance. We present in…
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 }\ \partialΩ…
Wolff potentials and measure data vectorial problems with Orlicz growth
Iwona Chlebicka, Yeonghun Youn, Anna Zatorska-Goldstein
We study solutions to measure data elliptic systems with Uhlenbeck-type structure that involve operator of divergence form, depending continuously on the spacial variable, and expo…
Wolff potentials and local behaviour of solutions to measure data elliptic problems with Orlicz growth
Iwona Chlebicka, Flavia Giannetti, Anna Zatorska-Goldstein
We establish pointwise estimates expressed in terms of a nonlinear potential of a generalized Wolff type for -superharmonic functions with nonlinear operator $A:Ω\times\mathbb{R…