Abstract
We prove Calderón–Zygmund type estimates for obstacle problems with so-called \({L^{p(\cdot)} \log L}\)-growth. We also find suitable conditions on the variable exponent \({p(\cdot)}\) and the coefficients of the obstacle problems to obtain desired estimates.
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Ok, J. Calderón–Zygmund estimates for a class of obstacle problems with nonstandard growth. Nonlinear Differ. Equ. Appl. 23, 50 (2016). https://doi.org/10.1007/s00030-016-0404-z
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DOI: https://doi.org/10.1007/s00030-016-0404-z