On the validity of the Euler-Lagrange equation in a nonlinear case

DOI10.1016/j.na.2010.03.020zbMath1219.49018OpenAlexW2001849582MaRDI QIDQ975264

Giovanni Bonfanti, Marco Mazzola

Publication date: 9 June 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.020

zbMATH Keywords

calculus of variationsnecessary conditionsEuler-Lagrange equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with control and optimization (35Q93)

Cites Work

• On a classical problem of the calculus of variations without convexity assumptions
• One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
• Local Lipschitz continuity of solutions to a problem in the calculus of variations
• Measurable dependence of convex sets and functions on parameters
• On the Euler–Lagrange Equation for Functionals of the Calculus of Variations without Upper Growth Conditions
• On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation
• On the validity of the Euler-Lagrange equation
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