Convergence results for obstacle problems on metric spaces |
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Authors: | Zohra Farnana |
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Affiliation: | Department of Mathematics, Linköpings universitet, SE-581 83 Linköping, Sweden |
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Abstract: | Let X be a complete metric space equipped with a doubling Borel measure supporting a p-Poincaré inequality. We obtain various convergence results for the single and double obstacle problems on open subsets of X. In particular, we consider single and double obstacle problems with fixed obstacles and boundary data on an increasing sequence of open sets. |
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Keywords: | Double obstacle problem Doubling measure Metric space Nonlinear p-Harmonic Poincaré inequality Potential theory Convergence |
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