Integral representation and $\sf \Gamma $-convergence of variational integrals with ${p(x)}$-growth

Alessandra Coscia; Domenico Mucci

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Displaying similar documents to “Integral representation and $Γ$ -convergence of variational integrals with $p (x)$ -growth”

Integrability for vector-valued minimizers of some variational integrals

Francesco Leonetti, Francesco Siepe (2001)

Commentationes Mathematicae Universitatis Carolinae

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We prove that the higher integrability of the data $f, f_{0}$ improves on the integrability of minimizers $u$ of functionals $ℱ$ , whose model is $\int_{Ω} [{| D u |}^{p} + {(det (D u))}^{2} - 〈 f, D u 〉 + 〈 f_{0}, u 〉] d x,$ where $u : Ω \subset ℝ^{n} \to ℝ^{n}$ and $p \geq 2$ .

Regularity of minima of variational integrals

Josef Daněček, Eugen Viszus (1999)

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Optimal partial regularity of minimizers of quasiconvex variational integrals

Christoph Hamburger (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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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.

Displaying similar documents to “Integral representation and Γ -convergence of variational integrals with p ( x ) -growth”

Integrability for vector-valued minimizers of some variational integrals

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Optimal partial regularity of minimizers of quasiconvex variational integrals

Displaying similar documents to “Integral representation and $Γ$ -convergence of variational integrals with $p (x)$ -growth”