On the regularity of local minimizers of decomposable variational integrals on domains in R
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چکیده
We consider local minimizers u: R2 ⊃ Ω → RN of variational integrals like ∫ Ω[(1+ |∂1u|)+(1+ |∂2u|)] dx or its degenerate variant ∫ Ω[|∂1u|+ |∂2u|] dx with exponents 2 ≤ p < q < ∞ which do not fall in the category studied in [BF2]. We prove interior C1,αrespectively C1-regularity of u under the condition that q < 2p. For decomposable variational integrals of arbitrary order a similar result is established by the way extending the work [BF3].
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تاریخ انتشار 2006