Abstract
We consider a p(x)-harmonic equation, where p(x) is measurable in Ω and is separated from 1 and infinity. It is shown that if p(x) is a radial function of x − x0, in a neighborhood of a point x0 ∈ Ω i.e., p(x) = p(|x − x0|) and p(t) is nonincreasing on (0, d), then p(x) is Hӧlder continuous at the point x0. Bibliography: 11 titles.
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