On the Euler–Lagrange Equation for Functionals of the Calculus of Variations without Upper Growth Conditions

DOI10.1137/090747968zbMath1201.49022OpenAlexW1989001123MaRDI QIDQ3581048

Marco Marzocchi, Marco Degiovanni

Publication date: 16 August 2010

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090747968

zbMATH Keywords

Euler-Lagrange equationsminimaelliptic equationscalculus of variations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Some problems in the calculus of variations ⋮ Lipschitz regularity for solutions of a general class of elliptic equations ⋮ Shape derivatives for minima of integral functionals ⋮ On the higher differentiability of solutions to a class of variational problems of fast growth ⋮ The validity of the Euler-Lagrange equation for solutions to variational problems ⋮ On the validity of the Euler-Lagrange equation in a nonlinear case ⋮ The lack of strict convexity and the validity of the comparison principle for a simple class of minimizers

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