We consider variational integrals ∫ΩF(x,u,Du)dx with integrands F(x, u, p) growing polynomially and of class C2 in p and Hölder-continuous in (x, u). Under the main assumption that F(x, u, p) is strictly quasiconvex we prove that each minimizer is of Class C1,μ in an open set Ω0 ⊂ Ω with meas (Ω − Ω0) = 0.
Partial Regularity of Minimizers of Quasiconvex Integrals / M. GIAQUINTA; G. MODICA. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 3:(1986), pp. 185-208. [10.1016/S0294-1449(16)30385-7]
Partial Regularity of Minimizers of Quasiconvex Integrals
GIAQUINTA, MARIANO;MODICA, GIUSEPPE
1986
Abstract
We consider variational integrals ∫ΩF(x,u,Du)dx with integrands F(x, u, p) growing polynomially and of class C2 in p and Hölder-continuous in (x, u). Under the main assumption that F(x, u, p) is strictly quasiconvex we prove that each minimizer is of Class C1,μ in an open set Ω0 ⊂ Ω with meas (Ω − Ω0) = 0.File in questo prodotto:
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