Convergence results for obstacle problems on metric spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:371

Article

Farnana, Zohra

关键词: Double obstacle problem;    Doubling measure;    Metric space;    Nonlinear;    p-Harmonic;    Poincare inequality;    Potential theory;    Convergence;   

DOI  :  10.1016/j.jmaa.2010.05.044

来源: Elsevier

【 摘 要 】

Let X be a complete metric space equipped with a doubling Borel measure supporting a p-Poincare 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. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free