TY - JOUR
T1 - On the Euler-Lagrange equation for functionals of the calculus of variations without upper growth conditions
AU - Degiovanni, Marco
AU - Marzocchi, Marco
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
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
UR - http://hdl.handle.net/10807/3484
UR - http://epubs.siam.org/journal/sjcodc
U2 - 10.1137/090747968
DO - 10.1137/090747968
M3 - Article
SN - 0363-0129
VL - 48
SP - 2857
EP - 2870
JO - SIAM Journal on Control and Optimization
JF - SIAM Journal on Control and Optimization
ER -