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Regular boundary points and the Dirichlet problem for elliptic equations in double divergence form (2505.03137v1)
Published 6 May 2025 in math.AP
Abstract: We study the Dirichlet problem for a second-order elliptic operator $L*$ in double divergence form, also known as the stationary Fokker-Planck-Kolmogorov equation. Assuming that the leading coefficients have Dini mean oscillation, we establish the equivalence between regular boundary points for the operator $L*$ and those for the Laplace operator, as characterized by the classical Wiener criterion.