Jens Habermann

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math.AP2006

Partial regularity for minima of higher order functionals with p(x) growth

Jens Habermann

For higher order integral functionals with $p (x)$ growth with respect to the highest order derivative $D^{m} u$ , we prove that $D^{m} u$ is Hölder continuous on an open subset $Ω_0 \su…

math.AP2006

Calderón-Zygmund estimates for higher order systems with p(x) growth

Jens Habermann

For weak solutions $u \in W^{m, 1} (Ω; R^{N})$ of higher order systems of the type \int_Ω< A(x,D^m u),D^m ϕ> dx = \int_Ω< |F|^{p(x)-2}F,D^m ϕ> dx, for all $ϕ\in C^{\infty}_c(Ω;\R^N), m…