Abstract
For an elliptic \(p(x)\)-Laplacian with a piecewise constant three-phase exponent \(p\) in the plane with three phases joining at a point, a Harnack inequality is proved and the Hölder continuity of the solution is established.
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This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00184.
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Translated by I. Ruzanova
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Alkhutov, Y.A., Surnachev, M.D. Harnack Inequality for the Elliptic p(x)-Laplacian with a Three-Phase Exponent p(x). Comput. Math. and Math. Phys. 60, 1284–1293 (2020). https://doi.org/10.1134/S0965542520080023
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DOI: https://doi.org/10.1134/S0965542520080023