Decay estimates for a class of second-order quasilinear equations in three dimensions

DOI10.1007/BF00281559zbMath0567.35016OpenAlexW2029069247MaRDI QIDQ1059773

Cornelius O. Horgan, Lawrence E. Payne

Publication date: 1984

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281559

zbMATH Keywords

existenceenergy integralexponential decaygrowth conditionsDirichletsecond-order quasilinear equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Boundary value problems for nonlinear higher-order PDEs (35G30)

Related Items (10)

Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region ⋮ Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip ⋮ A Phragmén–Lindelöf principle for the equation of a surface of constant mean curvature ⋮ On the spatial decay of the energy for some quasilinear boundary value problems in semi-infinite cylinders ⋮ On the Saint-Venant principle in the case of infinite energy ⋮ On Saint-Venant's principle in finite anti-plane shear: An energy approach ⋮ Decay theorems for nonlinear Dirichlet problems in semi-infinite cylinders ⋮ Theconvergence Rate of Solutions of Quasilinear Elliptic Equations in Slabs ⋮ Spatial decay theorems for nonlinear parabolic equations in semi-infinite cylinders ⋮ A note on the spatial decay of a three-dimensional minimal surface over a semi-infinite cylinder

Cites Work

• Unnamed Item
• Decay estimates for second-order quasilinear partial differential equations
• A note on the spatial decay of a three-dimensional minimal surface over a semi-infinite cylinder
• A note on the spatial decay of a minimal surface over a semi-infinite strip
• Recent Developments Concerning Saint-Venant's Principle
• Isoperimetric Inequalities in a Class of Nonlinear Eigenvalue Problems

This page was built for publication: Decay estimates for a class of second-order quasilinear equations in three dimensions