Gradient estimates for double phase problems with irregular obstacles
An irregular obstacle problem with non-uniformly elliptic operator in divergence form of (p,q)-growth is studied. We find an optimal regularity for such a double phase obstacle problem by essentially proving that the gradient of a solution is as integrable as both the gradient of the assigned obstac...
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| Veröffentlicht in: | Nonlinear analysis 2018-12, Vol.177, p.169-185 |
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| creator | Byun, Sun-Sig Cho, Yumi Oh, Jehan |
| description | An irregular obstacle problem with non-uniformly elliptic operator in divergence form of (p,q)-growth is studied. We find an optimal regularity for such a double phase obstacle problem by essentially proving that the gradient of a solution is as integrable as both the gradient of the assigned obstacle function and the associated nonhomogeneous term in the divergence. Calderón–Zygmund type estimates are also obtained under minimal regularity requirements of the prescribed data. |
| doi_str_mv | 10.1016/j.na.2018.02.008 |
| format | Article |
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| ispartof | Nonlinear analysis, 2018-12, Vol.177, p.169-185 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Calderón–Zygmund estimate Divergence Double phase problem Mathematical problems Nonlinear systems Obstacle problem Partial differential equations Regularity |
| title | Gradient estimates for double phase problems with irregular obstacles |
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