On Hölder regularity for vector-valued minimizers of quasilinear functionals

Josef Daněček; Eugen Viszus

Displaying similar documents to “On Hölder regularity for vector-valued minimizers of quasilinear functionals”

Regularity of minima of variational integrals

Josef Daněček, Eugen Viszus (1999)

Mathematica Slovaca

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

Josef Daněček (1996)

Commentationes Mathematicae Universitatis Carolinae

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Interior $ℒ_{l o c}^{2, n}$ -regularity for the gradient of a weak solution to nonlinear second order elliptic systems is investigated.

A global differentiability result for solutions of nonlinear elliptic problems with controlled growths

Luisa Fattorusso (2008)

Czechoslovak Mathematical Journal

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Let $Ω$ be a bounded open subset of $ℝ^{n}$ , $n > 2$ . In $Ω$ we deduce the global differentiability result $u \in H^{2} (Ω, ℝ^{N})$ for the solutions $u \in H^{1} (Ω, ℝ^{n})$ of the Dirichlet problem $u - g \in H_{0}^{1} (Ω, ℝ^{N}), - \sum_{i} D_{i} a^{i} (x, u, D u) = B_{0} (x, u, D u)$ with controlled growth and nonlinearity $q = 2$ . The result was obtained by first extending the interior differentiability result near the boundary and then proving the global differentiability result making use of a covering procedure.

Displaying similar documents to “On Hölder regularity for vector-valued minimizers of quasilinear functionals”

Regularity of minima of variational integrals

On ℒ l o c 2 , n -regularity for the gradient of a weak solution to nonlinear elliptic systems

A global differentiability result for solutions of nonlinear elliptic problems with controlled growths

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