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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)\,,\…
Singular elliptic measure data problems with irregular obstacles
Sun-Sig Byun, Kyeong Song, Yeonghun Youn
We investigate elliptic irregular obstacle problems with -growth involving measure data. Emphasis is on the strongly singular case , and we obtain several new c…
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…