The Wiener test for higher order elliptic equations

  title={The Wiener test for higher order elliptic equations},
  author={Vladimir Maz'ya},
  journal={arXiv: Analysis of PDEs},
  • V. Maz'ya
  • Published 2002
  • Mathematics
  • arXiv: Analysis of PDEs
Wiener's criterion for the regularity of a boundary point with respect to the Dirichlet problem for the Laplace equation has been extended to various classes of elliptic and parabolic partial differential equations. They include linear divergence and nondivergence equations with discontinuous coefficients, equations with degenerate quadratic form, quasilinear and fully nonlinear equations, as well as equations on Riemannian manifolds, graphs, groups, and metric spaces. A common feature of these… Expand
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