A note on zero-sets of fractional sobolev functions with negative power of integrability

DOI10.1090/S0002-9939-2014-12372-0zbMath1335.46031arXiv1307.5236OpenAlexW1965225415MaRDI QIDQ5496455

Armin Schikorra

Publication date: 2 February 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5236

zbMATH Keywords

Poincaré-type inequalityHausdorff dimensionfractional Sobolev space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (2)

Uncertainty principles for Fourier multipliers ⋮ On quasi-periodicity properties of fractional integrals and fractional derivatives of periodic functions

Cites Work

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• Hitchhiker's guide to the fractional Sobolev spaces
• Energy minimizers of a thin film equation with Born repulsion force
• Zero set of Sobolev functions with negative power of integrability
• Singular limit of an energy minimizer arising from dewetting thin film model with Van der waal, born repulsion and surface tension forces
• Partial regularity for solutions of a nonlinear elliptic equation with singular nonlinearity
• Hausdorff dimension of rupture sets and removable singularities

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