Variational principles for second-order quasi-linear scalar equations

DOI10.1016/0022-0396(84)90100-1zbMath0533.49010OpenAlexW1978934631MaRDI QIDQ789715

Ian M. Anderson, Thomas E. Duchamp

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90100-1

zbMATH Keywords

variational principlessecond-order quasi-linear partial differential equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational methods applied to PDEs (35A15) Nonlinear higher-order PDEs (35G20) Hamilton-Jacobi theories (49L99)

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Cites Work

• On variation bicomplexes associated to differential equations
• A global version of the inverse problem of the calculus of variations
• The Hamilton Cartan formalism for rth-order Lagrangians and the integrability of the KdV and modified KdV equations
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Variational methods in theoretical mechanics
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• Differential geometry and the calculus of variations
• The Hamilton-Cartan formalism in the calculus of variations
• Higher Euler operators and some of their applications
• On Variational Formulations for Non-Linear, Non-Potential Operators
• The range of application of the lagrange formalism — I
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• On the Hamiltonian structure of evolution equations
• On the Existence of Global Variational Principles
• A resolution of the Euler operator II
• Heuristic Methods for Solving Large Scale Network Routing Problems: The Telpaking Problem
• Applications of analysis on nilpotent groups to partial differential equations
• A Resolution of the Euler Operator. I
• The Lagrange complex
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• A bifurcation theorem for potential operators
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