On the regularity of solutions in the Pucci-Serrin identity

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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 originaleEnglish
pagine (da-a)317-334
Numero di pagine18
RivistaCalculus of Variations and Partial Differential Equations
Volume18
DOI
Stato di pubblicazionePubblicato - 2003

Keywords

  • Nonlinear elliptic partial differential equations

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