Some remarks about the $p$-Dirichlet integral

Mariano Giaquinta; Giuseppe Modica; Jiří Souček

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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 $L^{2, n - 2} (Ω, ℝ^{n N})$ .

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Displaying similar documents to “Some remarks about the p -Dirichlet integral”

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Displaying similar documents to “Some remarks about the $p$ -Dirichlet integral”

On $ℒ_{l o c}^{2, n}$ -regularity for the gradient of a weak solution to nonlinear elliptic systems