On multiple Hardy-Hilbert integral inequalities with some parameters.

Yong, Hong

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On a multiple Hilbert-type integral inequality with the symmetric kernel.

Zhong, Wuyi, Yang, Bicheng (2007)

Journal of Inequalities and Applications [electronic only]

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A multiple Hardy-Hilbert integral inequality with the best constant factor.

Hong, Yong (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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A Sawyer duality principle for radially monotone functions in $ℝ^{n}$ .

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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.