For an elliptic equation with the p(x)-Laplacian, where the exponent p(∙) is a bounded measurable function, we find conditions guaranteeing the continuity of the solution at a point.
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Translated from Problemy Matematicheskogo Analiza 118, 2022, pp. 21-41.
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Alkhutov, Y.A., Surnachev, M.D. A Variation on the p(x)-Laplace Equation. J Math Sci 268, 266–290 (2022). https://doi.org/10.1007/s10958-022-06205-z
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DOI: https://doi.org/10.1007/s10958-022-06205-z