Geodesic
Interior and boundary continuity of $p(x)$-harmonic functions
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 49, Tome 508 (2021), pp. 7-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we establish results on interior and boundary continuity of $p(x)$-harmonic functions with discontinuous exponent $p(x)$. 
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Yu. A. Alkhutov; M. D. Surnachev. Interior and boundary continuity of $p(x)$-harmonic functions. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 49, Tome 508 (2021), pp. 7-38. http://geodesic.mathdoc.fr/item/ZNSL_2021_508_a0/

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