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.
|Numero di pagine||18|
|Rivista||Calculus of Variations and Partial Differential Equations|
|Stato di pubblicazione||Pubblicato - 2003|
- Nonlinear elliptic partial differential equations