The double obstacle problem for Musielak-Orlicz Dirichlet
          energy integral on metric measure spaces

Toshihide Futamura; Tetsu Shimomura

doi:10.2748/tmj.20200120

The double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces

Tohoku Mathematical Journal ◽

10.2748/tmj.20200120 ◽

2021 ◽

Vol 73 (1) ◽

Author(s):

Toshihide Futamura ◽

Tetsu Shimomura

Keyword(s):

Obstacle Problem ◽

Dirichlet Energy ◽

Energy Integral ◽

Metric Measure Spaces ◽

Measure Spaces

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Obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces

Tohoku Mathematical Journal ◽

10.2748/tmj/1552100442 ◽

2019 ◽

Vol 71 (1) ◽

pp. 53-68

Author(s):

Fumi-Yuki Maeda ◽

Takao Ohno ◽

Tetsu Shimomura

Keyword(s):

Obstacle Problem ◽

Dirichlet Energy ◽

Energy Integral ◽

Metric Measure Spaces ◽

Measure Spaces

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Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces

Journal of Functional Analysis ◽

10.1016/j.jfa.2017.01.001 ◽

2017 ◽

Vol 272 (8) ◽

pp. 3311-3346 ◽

Cited By ~ 6

Author(s):

Alexander Grigor'yan ◽

Eryan Hu ◽

Jiaxin Hu

Keyword(s):

Dirichlet Forms ◽

Heat Kernels ◽

Metric Measure Spaces ◽

Measure Spaces ◽

Non Local

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Jump processes and nonlinear fractional heat equations on metric measure spaces

Mathematische Nachrichten ◽

10.1002/mana.200310352 ◽

2006 ◽

Vol 279 (1-2) ◽

pp. 150-163 ◽

Cited By ~ 5

Author(s):

Jiaxin Hu ◽

Martina Zähle

Keyword(s):

Jump Processes ◽

Heat Equations ◽

Metric Measure Spaces ◽

Measure Spaces

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Rigidity properties of smooth metric measure spaces via the weighted $p$-Laplacian

Proceedings of the American Mathematical Society ◽

10.1090/proc/13285 ◽

2016 ◽

Vol 145 (3) ◽

pp. 1287-1299 ◽

Cited By ~ 1

Author(s):

Nguyen Thac Dung

Keyword(s):

Metric Measure Spaces ◽

Smooth Metric Measure Spaces ◽

Measure Spaces

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A note on the extension of BV functions in metric measure spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.07.039 ◽

2008 ◽

Vol 340 (1) ◽

pp. 197-208 ◽

Cited By ~ 7

Author(s):

Annalisa Baldi ◽

Francescopaolo Montefalcone

Keyword(s):

Metric Measure Spaces ◽

Bv Functions ◽

Measure Spaces

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Well-posedness of Lagrangian flows and continuity equations in metric measure spaces

Analysis & PDE ◽

10.2140/apde.2014.7.1179 ◽

2014 ◽

Vol 7 (5) ◽

pp. 1179-1234 ◽

Cited By ~ 24

Author(s):

Luigi Ambrosio ◽

Dario Trevisan

Keyword(s):

Well Posedness ◽

Metric Measure Spaces ◽

Continuity Equations ◽

Measure Spaces

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Lower bound of coarse Ricci curvature on metric measure spaces and eigenvalues of Laplacian

Geometriae Dedicata ◽

10.1007/s10711-013-9844-3 ◽

2013 ◽

Vol 169 (1) ◽

pp. 99-107 ◽

Cited By ~ 2

Author(s):

Yu Kitabeppu

Keyword(s):

Lower Bound ◽

Ricci Curvature ◽

Metric Measure Spaces ◽

Measure Spaces ◽

Coarse Ricci Curvature

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Discretization of integrals on compact metric measure spaces

Advances in Mathematics ◽

10.1016/j.aim.2021.107602 ◽

2021 ◽

Vol 381 ◽

pp. 107602

Author(s):

Martin D. Buhmann ◽

Feng Dai ◽

Yeli Niu

Keyword(s):

Metric Measure Spaces ◽

Measure Spaces

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Fractional operators of variable order from variable exponent Morrey spaces to variable exponent Campanato spaces on quasi-metric measure spaces with growth condition

Ricerche di Matematica ◽

10.1007/s11587-021-00639-4 ◽

2021 ◽

Author(s):

Humberto Rafeiro ◽

Stefan Samko

Keyword(s):

Growth Condition ◽

Variable Exponent ◽

Morrey Spaces ◽

Variable Order ◽

Fractional Operators ◽

Metric Measure Spaces ◽

Measure Spaces

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A Liouville theorem for weightedp−Laplace operator on smooth metric measure spaces

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4031 ◽

2016 ◽

Vol 40 (4) ◽

pp. 992-1002 ◽

Cited By ~ 1

Author(s):

Lin Feng Wang ◽

Ze Yu Zhang ◽

Liang Zhao ◽

Yu Jie Zhou

Keyword(s):

Laplace Operator ◽

Liouville Theorem ◽

Metric Measure Spaces ◽

Smooth Metric Measure Spaces ◽

Measure Spaces

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