On the Regularity of a Boundary Point for the p(x)-Laplacian
Yu. A. Alkhutov, Mikhail Dmitriyevich Surnachev · Doklady Mathematics · 2018
The Dirichlet problem for the p ( x )-Laplacian with a continuous boundary function is considered, and a sufficient condition is found for the continuity of its solution at a boundary point, assuming that the exponent p ( x ) satisfies the log-Hölder continuity condition at this point.