A note on the spatial decay of a minimal surface over a semi-infinite strip

DOI10.1016/0022-247X(77)90090-7zbMath0356.35032OpenAlexW2007561146MaRDI QIDQ1237889

James K. Knowles

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(77)90090-7

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Phragmén-Lindelöf decay theorems for classes of nonlinear Dirichlet problems in a circular cylinder, Spatial Decay Estimates for a Class of Second-Order Quasilinear Elliptic Partial Differential Equations Arising in Anisotropic Nonlinear Elasticity, On the asymptotic behavior of a minimal surface over a semi-infinite strip, Spatial decay estimates for second order partial differential equations, The effect of nonlinearity on a principle of Saint-Venant type, Comparison results between linear and quasilinear elliptic boundary value problems, Exponential decay estimates for a class of nonlinear Dirichlet problems, Decay theorems for nonlinear Dirichlet problems in semi-infinite cylinders, Decay estimates for second-order quasilinear partial differential equations, Theconvergence Rate of Solutions of Quasilinear Elliptic Equations in Slabs, A Saint-Venant principle for nonlinear elasticity, Decay estimates for a class of second-order quasilinear equations in three dimensions, A note on the spatial decay of a three-dimensional minimal surface over a semi-infinite cylinder, Phragmén-Lindelöf principles for solutions of elliptic differential inequalities

Cites Work

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• A Saint-Venant principle for the gradient in the Neumann problem
• Spatial decay estimates for the heat equation via the maximum principle
• The rate of decay of a minimal surface defined over a semiinfinite strip
• A two-dimensional Saint-Venant principle for second-order linear elliptic equations
• Spatial Decay Estimates for the Navier–Stokes Equations with Application to the Problem of Entry Flow