Maximally singular Sobolev functions
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Publication:1772373
DOI10.1016/j.jmaa.2004.09.047zbMath1073.46023OpenAlexW2081480280MaRDI QIDQ1772373
Darko Žubrinić, Lana Horvat Dmitrović
Publication date: 18 April 2005
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.09.047
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hausdorff and packing measures (28A78)
Related Items (8)
Maximally singular weak solutions of Laplace equations ⋮ Fractal analysis of spiral trajectories of some planar vector fields ⋮ Distance and tube zeta functions of fractals and arbitrary compact sets ⋮ 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 ⋮ Fractal analysis of spiral trajectories of some vector fields in \(\mathbb R^3\) ⋮ Fractal Zeta Functions and Complex Dimensions: A General Higher-Dimensional Theory ⋮ Generating singularities of weak solutions of \(p\)-Laplace equations on fractal sets
Cites Work
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- Minkowski content and singular integrals.
- Singular sets of Sobolev functions
- Singular sets of Lebesgue integrable functions
- The concept of capacity in the theory of functions with generalized derivatives
- Weakly Differentiable Functions
- Real Interpolation of Sobolev Spaces on Subdomains of Rn
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