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The Dirichlet Problem for Quasilinear Elliptic Equations in Domains with Smooth Closed Edges

Abstract

The solvability of the Dirichlet problem for quasilinear elliptic second-order equations of nondivergence form are studied in a domain whose boundary contains a conical point or an edge of an arbitrary codimension. Bibliography: 12 titles.

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Apushkinskaya, D.I., Nazarov, A.I. The Dirichlet Problem for Quasilinear Elliptic Equations in Domains with Smooth Closed Edges. Journal of Mathematical Sciences 105, 2299–2318 (2001). https://doi.org/10.1023/A:1011362311390

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Keywords

  • Elliptic Equation
  • Dirichlet Problem
  • Conical Point
  • Quasilinear Elliptic Equation
  • Closed Edge