In the general vector-valued case N ≥ 1, we prove the Lipschitz continuity of local minimizers to some integrals of the calculus of variations with p, q-growth conditions only for |Du| → +∞ and without further structure conditions on the integrand. Moreover, the regularity results are applied to weak solutions to nonlinear elliptic systems in divergence form.
Lipschitz estimates for systems with ellipticity conditions at infinity / Eleuteri Michela; Marcellini Paolo; Mascolo Elvira. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 195:(2016), pp. 1575-1603. [10.1007/s10231-015-0529-4]
Lipschitz estimates for systems with ellipticity conditions at infinity
Eleuteri Michela;Marcellini Paolo
;Mascolo Elvira
2016
Abstract
In the general vector-valued case N ≥ 1, we prove the Lipschitz continuity of local minimizers to some integrals of the calculus of variations with p, q-growth conditions only for |Du| → +∞ and without further structure conditions on the integrand. Moreover, the regularity results are applied to weak solutions to nonlinear elliptic systems in divergence form.File | Dimensione | Formato | |
---|---|---|---|
2016_Eleuteri_Marcellini_Mascolo_Annali_di_Matematica.pdf
Accesso chiuso
Descrizione: 2016 Eleuteri_Marcellini_Mascolo Annali_di_Matematica
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Tutti i diritti riservati
Dimensione
646.09 kB
Formato
Adobe PDF
|
646.09 kB | Adobe PDF | Richiedi una copia |
EMM-ANNALI-15-7-20.pdf
accesso aperto
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
398.93 kB
Formato
Adobe PDF
|
398.93 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.