On the Euler-Lagrange equation for functionals of the calculus of variations without upper growth conditions

Marco Degiovanni; Marco Marzocchi

doi:10.1137/090747968

On the Euler-Lagrange equation for functionals of the calculus of variations without upper growth conditions

Marco Degiovanni^*
, Marco Marzocchi

^*Corresponding author

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

For a class of functionals of the Calculus of variations, we prove that each minimum of the functional satisfies the associated Euler-Lagrange equation. The integrand is supposed to be convex, but no upper growth condition is imposed.

Original language	English
Pages (from-to)	2857-2870
Number of pages	14
Journal	SIAM Journal on Control and Optimization
Volume	48
Issue number	4
DOIs	https://doi.org/10.1137/090747968
Publication status	Published - 2009

All Science Journal Classification (ASJC) codes

Control and Optimization
Applied Mathematics

Keywords

Calcolo delle variazioni
Calculus of variations
Differential equations
Equazioni differenziali

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10.1137/090747968

Cite this

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KW - Calcolo delle variazioni

KW - Calculus of variations

KW - Differential equations

KW - Equazioni differenziali

KW - Calcolo delle variazioni

KW - Calculus of variations

KW - Differential equations

KW - Equazioni differenziali

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On the Euler-Lagrange equation for functionals of the calculus of variations without upper growth conditions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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