Density of Lipschitz functions in energy
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Publication:2680549
DOI10.1007/s00526-022-02395-1OpenAlexW3107129388MaRDI QIDQ2680549
Publication date: 4 January 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.01892
Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
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Cites Work
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- Fine properties of Newtonian functions and the Sobolev capacity on metric measure spaces
- Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
- Newtonian Lorentz metric spaces
- Pointwise properties of functions of bounded variation in metric spaces
- Fine properties and a notion of quasicontinuity for BV functions on metric spaces
- Nonlinear potential theory on metric spaces
- Pointwise behaviour of Orlicz-Sobolev functions
- Measurability of equivalence classes and MEC\(_p\)-property
- On the density of continuous functions in variable exponent Sobolev space
- A decomposition into atoms of distributions on spaces of homogeneous type
- Quasiconformal maps in metric spaces with controlled geometry
- Differentiability of Lipschitz functions on metric measure spaces
- Lebesgue points for Sobolev functions on metric spaces.
- Modulus and the Poincaré inequality on metric measure spaces
- Removable sets for Sobolev spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Sobolev spaces on an arbitrary metric space
- Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities
- The Poincaré inequality is an open ended condition
- Variable exponent Sobolev spaces on metric measure spaces
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- How to conjugate C\(^1\)-close group actions
- Minimal weak upper gradients in Newtonian spaces based on quasi-Banach function lattices
- Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope
- Nonsmooth calculus
- Riemannian center of mass and mollifier smoothing
- Sobolev met Poincaré
- On the sharp lower bound for duality of modulus
- Sobolev Spaces on Metric Measure Spaces
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