Abstract
We consider the Dirichlet problem for the p-Laplacian with weight and continuous boundary function in a domain D divided into two parts by the hyperplane Σ. The weight is equal to 1 in some part of the domain D and coincides with a small parameter e in the other. We estimate the modulus of continuity for the solution at a boundary point x0 ∈ ∂D ∩ Σ with a constant independent of e.
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