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Regularity results for minimizers of \((2,q)\)-growth functionals in the Heisenberg group - MaRDI portal

Regularity results for minimizers of \((2,q)\)-growth functionals in the Heisenberg group (Q993396)

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scientific article; zbMATH DE number 5782783
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Regularity results for minimizers of \((2,q)\)-growth functionals in the Heisenberg group
scientific article; zbMATH DE number 5782783

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    Regularity results for minimizers of \((2,q)\)-growth functionals in the Heisenberg group (English)
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    10 September 2010
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    Integral functionals on the Heisenberg group, whose convex \(C^2\) integrand has quadratic growth from below, and growth of order \(q>2\) from above are considered. A regularity result for the full gradient of minimizer under the condition that \(q\) is less than an explicit constant is proved.
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    quadratic growth from below
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    growth of order \(q>2\) from above
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