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The venttse’ problem for nonlinear elliptic equations


The solvability of the fully nonlinear stationary Venttsel' problem is established. The equation and the boundary condition are assumed to be uniformly elliptic. Bibliography: 12 titles.

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Additional information

Translated fromProblemy Matematicheskogo Analiza, No. 19, 1999, pp. 3–26.

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Apushkinskaya, D.E., Nazarov, A.I. The venttse’ problem for nonlinear elliptic equations. J Math Sci 101, 2861–2880 (2000).

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  • Elliptic Equation
  • Nonlinear Elliptic Equation
  • Quasilinear Elliptic Equation
  • Require Estimate
  • Boundary Estimate