Abstract
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.
Lingua originale | English |
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pagine (da-a) | 317-334 |
Numero di pagine | 18 |
Rivista | Calculus of Variations and Partial Differential Equations |
Volume | 18 |
DOI | |
Stato di pubblicazione | Pubblicato - 2003 |
Keywords
- Nonlinear elliptic partial differential equations