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Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations
We prove that the Dirichlet problem for degenerate elliptic equations div(A∇u) = 0 in the upper half-space (x, t) ∈ R n+1 + is solvable when n ≥ 2 and the boundary data is in L p µ (R n ) for some p < ∞.The coefficient matrix A is …