Local regularity for minimizers of non convex integrals

E. Acerbi; N. Fusco

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Hölder continuity results for a class of functionals with non-standard growth

Michela Eleuteri (2004)

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We prove regularity results for real valued minimizers of the integral functional $\int f (x, u, D u)$ under non-standard growth conditions of $p (x)$ -type, i.e. $L^{- 1} {|z|}^{p (x)} \leq f (x, s, z) \leq L (1 + {|z|}^{p (x)})$ under sharp assumptions on the continuous function $p (x) > 1$ .

Partial regularity of minimizers of quasiconvex integrals

Mariano Giaquinta, Giuseppe Modica (1986)

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