Abstract
We prove the existence and uniqueness of a solution to a double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces supporting a $\Phi$-Poincaré inequality, as an extension of [9, 26]. We also study continuous dependence on obstacles for the double obstacle problem in our setting.
Citation
Toshihide Futamura. Tetsu Shimomura. "The double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces." Tohoku Math. J. (2) 73 (1) 119 - 136, 2021. https://doi.org/10.2748/tmj.20200120
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