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Quasilinear Elliptic Two-Phase Venttsel's Problems in the Transversal Case

Abstract

The solvability of the two-phase quasilinear elliptic boundary-value problem with Venttsel interface condition is established under the assumption that the interface surface intersects transversally the exterior boundary. Bibliography: 12 titles.

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Apushkinskaya, D.E., Nazarov, A.I. Quasilinear Elliptic Two-Phase Venttsel's Problems in the Transversal Case. Journal of Mathematical Sciences 112, 3927–3943 (2002). https://doi.org/10.1023/A:1020000522010

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Keywords

  • Interface Condition
  • Interface Surface
  • Exterior Boundary