Abstract
We consider divergence type elliptic equations with \(L^{p(\cdot )}\log L\) growth. For those equations, we derive global Calderón–Zygmund type estimates in a nonsmooth domain. In addition, we investigate the existence and uniqueness of weak solutions and the self-improving property for the gradient of weak solutions.
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The author would like to thank the referee for very useful comments and suggestions which improved the readability of the paper.
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Communicated by L. Ambrosio.
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Ok, J. Gradient estimates for elliptic equations with \(L^{p(\cdot )}\log L\) growth. Calc. Var. 55, 26 (2016). https://doi.org/10.1007/s00526-016-0965-z
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DOI: https://doi.org/10.1007/s00526-016-0965-z