Partial regularity of minimizers of quasiconvex integrals with subquadratic growth: the general case

• Autorzy: Menita Carozza , Giuseppe Mingione
• Języki publikacji: EN

Abstrakty

EN

We prove partial regularity for minimizers of the functional $∫_{Ω} f(x,u(x),Du(x))dx$ where the integrand f(x,u,ξ) is quasiconvex with subquadratic growth: $|f(x,u,ξ)| ≤ L(1+|ξ|^p)$, p < 2. We also obtain the same results for ω-minimizers.

Kategorie tematyczne

• 49N60: Regularity of solutions
• 49N99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 77
• Numer: 3
• Strony: 219-243

Daty

wydano

2001

Twórcy

autor

Menita Carozza

• Facoltà di Scienze MM. FF. NN., Università del Sannio, Via Port' Arsa 11, 82100 Benevento, Italy

autor

Giuseppe Mingione

• Dipartimento di Matematica, Università, Via d'Azeglio 85//A, 43100 Parma, Italy

Identyfikatory

DOI

10.4064/ap77-3-3