Convergence results for obstacle problems on metric spaces

DOI10.1016/j.jmaa.2010.05.044zbMath1195.49009OpenAlexW2077384352MaRDI QIDQ990827

Zohra Farnana

Publication date: 1 September 2010

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.2010.05.044

zbMATH Keywords

potential theoryPoincaré inequalitydoubling measure\(p\)-harmonic mapdouble obstacle problemdoubling Borel measure

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27)

Related Items (3)

The obstacle and Dirichlet problems associated with p-harmonic functions in unbounded sets in R^n and metric spaces ⋮ Geometry of prime end boundary and the Dirichlet problem for bounded domains in metric measure spaces ⋮ Continuous dependence on obstacles for the double obstacle problem on metric spaces

Cites Work

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• Pointwise regularity for solutions of double obstacle problems on metric spaces
• The Dirichlet problem for p-harmonic functions on metric spaces
• Stability in Obstacle Problems.
• Regularity of quasi-minimizers on metric spaces
• Harmonic functions on metric spaces

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