Regularity of minima of variational integrals

Josef Daněček; Eugen Viszus

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Displaying similar documents to “Regularity of minima of variational integrals”

Optimal partial regularity of minimizers of quasiconvex variational integrals

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We prove partial regularity with optimal Hölder exponent of vector-valued minimizers of the quasiconvex variational integral $\int F (x, u, D u) d x$ under polynomial growth. We employ the indirect method of the bilinear form.

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On Hölder regularity for vector-valued minimizers of quasilinear functionals

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We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type $𝒜 (u; Ω) = \int_{Ω} A_{i j}^{α β} (x, u) D_{α} u^{i} D_{β} u^{j} d x$ whose gradients belong to the Morrey space $L^{2, n - 2} (Ω, ℝ^{n N})$ .