An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint
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Publication:5206208
DOI10.1090/proc/14732zbMath1447.28003arXiv1812.07629OpenAlexW2955447643MaRDI QIDQ5206208
Publication date: 18 December 2019
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.07629
Hausdorff dimensionnormal currentstructure theoremPDE constrainttangent measure\(\mathcal{A}\)-free measure
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Hausdorff and packing measures (28A78) Systems of linear first-order PDEs (35F35)
Related Items (5)
A trace inequality for solenoidal charges ⋮ On finite configurations in the spectra of singular measures ⋮ Dimensional estimates and rectifiability for measures satisfying linear PDE constraints ⋮ Characterization of generalized Young measures generated by \({\mathcal{A}} \)-free measures ⋮ Dimension estimates for vectorial measures with restricted spectrum
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