Singular sets of Lebesgue integrable functions

DOI10.1016/j.chaos.2003.12.080zbMath1057.28002OpenAlexW2132991920MaRDI QIDQ1766683

Darko Žubrinić

Publication date: 8 March 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.080

zbMATH Keywords

Hausdorff dimensionbox dimensionfractalsMinkowski contentLebesgue integrability

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (7)

Maximally singular weak solutions of Laplace equations ⋮ Box dimension of trajectories of some discrete dynamical systems ⋮ Box dimension of spiral trajectories of some vector fields in \(\mathbb R^3\) ⋮ Singular dimension of the solution set of a class ofp-Laplace equations ⋮ Maximally singular Sobolev functions ⋮ Fractal analysis of spiral trajectories of some vector fields in \(\mathbb R^3\) ⋮ Generating singularities of weak solutions of \(p\)-Laplace equations on fractal sets

Cites Work

• Removability of singular sets of harmonic maps
• Minkowski content and singular integrals.
• Singular sets of Sobolev functions
• Removable singularities of solutions of linear partial differential equations
• The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums
• Generalized Minkowski content, spectrum of fractal drums, fractal strings and the Riemann zeta-function
• On the Minkowski Measurability of Fractals
• Lacunarity of self-similar and stochastically self-similar sets
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