We establish a new Harnack inequality for nonnegative solutions to the p(x)-Laplace equation with two-phase exponent p(x) taking two constant values p and q in the case where the phase interface is a hyperplane.
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Dedicated to the outstanding mathematician Nina Nikolaevna Uraltseva
Translated from Problemy Matematicheskogo Analiza 127, 2024, pp. 7-18.
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Aliyev, M.J., Alkhutov, Y., Surnachev, M.D. et al. Remarks on the Harnack Inequality for the Elliptic (p, q)-Laplacian. J Math Sci 281, 477–490 (2024). https://doi.org/10.1007/s10958-024-07130-z
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DOI: https://doi.org/10.1007/s10958-024-07130-z