HARNACK'S INEQUALITY FOR THE p

HARNACK'S INEQUALITY FOR THE p

One considers solutions of the p(x)-Laplacian equation in a neighborhood of a point [x.sub.0] on a hyperplane [SIGMA]. It is assumed that the exponent p(x) possesses a logarithmic continuity modulus as [x.sub.0] is approached from one of the half-spaces separated by [SIGMA]. A version of the Harnack...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-01, Vol.244 (2), p.116
Hauptverfasser: Alkhutov, Yu.A, Surnachev, M.D
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Equality
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Surnachev, M.D
description One considers solutions of the p(x)-Laplacian equation in a neighborhood of a point [x.sub.0] on a hyperplane [SIGMA]. It is assumed that the exponent p(x) possesses a logarithmic continuity modulus as [x.sub.0] is approached from one of the half-spaces separated by [SIGMA]. A version of the Harnack inequality is proved for these solutions.
doi_str_mv 10.1007/s10958-019-04609-y
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title HARNACK'S INEQUALITY FOR THE p
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