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Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region

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Publication:1369537
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DOI10.1007/BF00420829zbMath0884.35041MaRDI QIDQ1369537

Lawrence E. Payne, Robin J. Knops

Publication date: 14 December 1997

Published in: Meccanica (Search for Journal in Brave)


zbMATH Keywords

differential inequalityPhragmén-Lindelöf principle


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)


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Stationary convection-diffusion equation in an infinite cylinder



Cites Work

  • Unnamed Item
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  • On Saint-Venant's principle in finite anti-plane shear: An energy approach
  • Decay estimates for second-order quasilinear partial differential equations
  • Decay estimates for a class of second-order quasilinear equations in three dimensions
  • Decay Estimates for a Class of Nonlinear Boundary Value Problems in Two Dimensions
  • Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature
  • The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
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