Mihalis Mourgoglou

activity

20122026

most citedUniform domains with rectifiable boundaries and harmonic measure

7 citations · 16 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.CA2025

Smooth extensions of Sobolev boundary data in corkscrew domains with uniformly rectifiable boundaries

Jonas Azzam, Mihalis Mourgoglou, Michele Villa

Given a corkscrew domain with uniformly rectifiable boundary, we construct a surjective trace map onto the $L^{p}$ Hajlasz-Sobolev space on the boundary from the space of functions o…

math.AP2025

Layer potentials for elliptic operators with DMO-type coefficients: big pieces $T b$ theorem, quantitative rectifiability, and free boundary problems

Andrea Merlo, Mihalis Mourgoglou, Carmelo Puliatti

For $n \geq 2$ , we consider the operator $L_{A} = - div (A (\cdot) \nabla)$ , where $A$ is a uniformly elliptic $(n + 1) \times (n + 1)$ matrix with variable coefficients, a Radon mea…

Smooth extensions of Sobolev boundary data in corkscrew domains with uniformly rectifiable boundaries

Layer potentials for elliptic operators with DMO-type coefficients: big pieces Tb theorem, quantitative rectifiability, and free boundary problems

Layer potentials for elliptic operators with DMO-type coefficients: big pieces $T b$ theorem, quantitative rectifiability, and free boundary problems