Weighted multidimensional inequalities for monotone functions

Sorina Barza; Lars-Erik Persson

Displaying similar documents to “Weighted multidimensional inequalities for monotone functions”

Modular inequalities for the Hardy averaging operator

Hans P. Heinig (1999)

Mathematica Bohemica

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If $P$ is the Hardy averaging operator - or some of its generalizations, then weighted modular inequalities of the form u (Pf) Cv (f) are established for a general class of functions $φ$ . Modular inequalities for the two- and higher dimensional Hardy averaging operator are also given.

The least eigenvalues of nonhomogeneous degenerated quasilinear eigenvalue problems

Pavel Drábek (1995)

Mathematica Bohemica

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We prove the existence of the least positive eigenvalue with a corresponding nonnegative eigenfunction of the quasilinear eigenvalue problem $\begin{matrix} - div (a (x, u) | |^{p - 2} \nabla u) = & {λ b (x, u) | u |}^{p - 2} u in Ω, u = & 0 on \partial Ω, \end{matrix}$ where $Ω$ is a bounded domain, $p > 1$ is a real number and $a (x, u)$ , $b (x, u)$ satisfy appropriate growth conditions. Moreover, the coefficient $a (x, u)$ contains a degeneration or a singularity. We work in a suitable weighted Sobolev space and prove the boundedness of the eigenfunction in $L^{\infty} (Ω)$ . The main tool is the investigation of the associated homogeneous eigenvalue problem...

Fejér-type inequalities. I.

Tseng, Kuei-Lin, Hwang, Shiow-Ru, Dragomir, S.S. (2010)

Journal of Inequalities and Applications [electronic only]

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Some weighted multidimensional Berwald, Thunsdorff and Borell inequalities.

Pečarić, Josip, Persson, Lars Erik (1996)

Mathematica Pannonica

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