On the dimension of a certain measure in the plane

DOI10.5186/aasfm.2014.3923zbMath1300.37034arXiv1301.5860OpenAlexW2963569218MaRDI QIDQ5403307

Murat Akman

Publication date: 25 March 2014

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5860

zbMATH Keywords

Hausdorff dimension\(p\)-harmonic measurepositive weak solutiondimension of a measure

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

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The Brunn-Minkowski inequality and a Minkowski problem for \(\mathcal{A} \)-harmonic Green's function ⋮ On a theorem of Wolff revisited ⋮ Failure of Fatou type theorems for solutions to PDE of p-Laplace type in domains with flat boundaries ⋮ Hausdorff dimension and \(\sigma\) finiteness of \(p\) harmonic measures in space when \(p \geq n\) ⋮ \(\sigma\)-finiteness of elliptic measures for quasilinear elliptic PDE in space ⋮ On a Bernoulli-type overdetermined free boundary problem ⋮ The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity

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