A Poincaré inequality for Orlicz-Sobolev functions with zero boundary values on metric spaces
DOI10.1007/s11785-010-0068-3zbMath1281.46030OpenAlexW2023017150MaRDI QIDQ371594
Publication date: 10 October 2013
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-010-0068-3
Orlicz-Sobolev spacePoincaré inequalityobstacle problemmetric measure spaceOrlicz-Sobolev function with zero boundary values
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
Related Items (3)
Cites Work
- Pointwise behaviour of Orlicz-Sobolev functions
- Differentiability of Lipschitz functions on metric measure spaces
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