Continuous dependence on obstacles for the double obstacle problem on metric spaces

DOI10.1016/j.na.2010.06.023zbMath1196.49020OpenAlexW2010382886MaRDI QIDQ992815

Zohra Farnana

Publication date: 10 September 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.023

zbMATH Keywords

regularitypotential theorymetric spacenonlinearPoincaré inequalitydoubling measuredouble obstacle problem\(p\)-harmonic

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Regularity of solutions in optimal control (49N60) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (6)

The obstacle and Dirichlet problems associated with p-harmonic functions in unbounded sets in R^n and metric spaces ⋮ Generalized solution of the double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces ⋮ The Perron method for \(p\)-harmonic functions in unbounded sets in \(\mathbf {R}^n\) and metric spaces ⋮ The double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces ⋮ Convergence results for obstacle problems on metric spaces ⋮ The Dirichlet problem for \(p\)-harmonic functions with respect to the Mazurkiewicz boundary, and new capacities

Cites Work

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