TY - JOUR
T1 - On the regularity of solutions in the Pucci-Serrin identity
AU - Degiovanni, Marco
AU - Musesti, Alessandro
AU - Squassina, Marco
PY - 2003
Y1 - 2003
N2 - We extend a celebrated identity by P. Pucci and J. Serrin, concerning C^2 solutions of Euler equations of functionals of the calculus of variations, to the case of C^1 solutions under the only additional assumption of strict convexity in the gradient. Some particular cases in which the mere convexity is sufficient are also considered.
AB - We extend a celebrated identity by P. Pucci and J. Serrin, concerning C^2 solutions of Euler equations of functionals of the calculus of variations, to the case of C^1 solutions under the only additional assumption of strict convexity in the gradient. Some particular cases in which the mere convexity is sufficient are also considered.
KW - Nonlinear elliptic partial differential equations
KW - Nonlinear elliptic partial differential equations
UR - https://publicatt.unicatt.it/handle/10807/86907
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=0242550921&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0242550921&origin=inward
U2 - 10.1007/s00526-003-0208-y
DO - 10.1007/s00526-003-0208-y
M3 - Article
SN - 0944-2669
VL - 18
SP - 317
EP - 334
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
IS - 3
ER -