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  1. Content type: Research Article

    Some estimates for solutions of the Dirichlet problem for second-order elliptic equations are obtained in this paper. Here the leading coefficients are locally VMO functions, while the hypotheses on the other ...

    Authors: Loredana Caso

    Citation: Journal of Inequalities and Applications 2006 2006:76215

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  2. Content type: Research Article

    We consider the Dirichlet Laplacian in infinite two-dimensional strips defined as uniform tubular neighbourhoods of curves on ruled surfaces. We show that the negative Gauss curvature of the ambient surface gi...

    Authors: David Krejčiřík

    Citation: Journal of Inequalities and Applications 2006 2006:46409

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  3. Content type: Research Article

    For star bodies, the dual affine quermassintegrals were introduced and studied in several papers. The aim of this paper is to study them further. In this paper, some inequalities for dual affine quermassintegr...

    Authors: Yuan Jun and Leng Gangsong

    Citation: Journal of Inequalities and Applications 2006 2006:50181

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  4. Content type: Research Article

    We investigate some properties of non-Archimedean integration which is defined by Kim. By using our results in this paper, we can give an answer to the problem which is introduced by I.-C. Huang and S.-Y. Huan...

    Authors: Lee-Chae Jang, Seoung-Dong Kim, Dal-Won Park and Young-Soon Ro

    Citation: Journal of Inequalities and Applications 2006 2006:34602

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  5. Content type: Research Article

    We consider an extension of Möbius-Pompeïu theorem of the elementary geometry over metric spaces. We specially take into consideration Ptolemaic metric spaces.

    Authors: Branko J. Malešević

    Citation: Journal of Inequalities and Applications 2006 2006:83206

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  6. Content type: Research Article

    This paper introduces new classes of generalized invex monotone mappings and invex cocoercive mappings. Their differential property and role to analyze and solve variational-like inequality problem are presented.

    Authors: B. Xu and D. L. Zhu

    Citation: Journal of Inequalities and Applications 2006 2006:57071

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  7. Content type: Research Article

    We introduce a new class of normalized norms on http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F26265/MediaObjects/13660_2005_Article_1579_IEq2_HTML.gif which properly contains all absolute normalized norms. We also give a criterion for deci...

    Authors: Weerayuth Nilsrakoo and Satit Saejung

    Citation: Journal of Inequalities and Applications 2006 2006:026265

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  8. Content type: Research Article

    We describe the sets on which difference of solutions of the gas dynamics equation satisfy some special conditions. By virtue of nonlinearity of the equation the sets depend on the solution gradient quantity. ...

    Authors: V. A. Klyachin, A. V. Kochetov and V. M. Miklyukov

    Citation: Journal of Inequalities and Applications 2006 2006:21693

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  9. Content type: Research Article

    We first obtain an improved version of the Hölder inequality with Orlicz norms. Then, as an application of the new version of the Hölder inequality, we study the integrability of the Jacobian of a composite ma...

    Authors: Shusen Ding and Bing Liu

    Citation: Journal of Inequalities and Applications 2006 2006:89134

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  10. Content type: Research Article

    The goal of the paper is twofold: (1) to show that the exact value http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F68969/MediaObjects/13660_2005_Article_1628_IEq1_HTML.gif in the Meńshov-Rademacher inequality equals 4/3, and (2) to give a ne...

    Authors: Sergei Chobanyan, Shlomo Levental and Habib Salehi

    Citation: Journal of Inequalities and Applications 2006 2006:68969

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  11. Content type: Research Article

    We prove Turán-type inequalities for some special functions by using a generalization of the Schwarz inequality.

    Authors: A. Laforgia and P. Natalini

    Citation: Journal of Inequalities and Applications 2006 2006:29828

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  12. Content type: Research Article

    The purpose of this paper is to introduce the concept of general fuzzy multivalued variational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalue...

    Authors: S. S. Chang, D. O'Regan and J. K. Kim

    Citation: Journal of Inequalities and Applications 2006 2006:45164

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  13. Content type: Research Article

    Yano's extrapolation theorem dated back to 1951 establishes boundedness properties of a subadditive operator http://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F74960/MediaObjects/13660_2004_Article_1634_IEq2_HTML.gif acting continuously in

    Authors: Claudia Capone, Alberto Fiorenza and Miroslav Krbec

    Citation: Journal of Inequalities and Applications 2006 2006:74960

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  14. Content type: Research Article

    We apply the Poincaré inequality to study the extended Kantorovich method that was used to construct a closed-form solution for two coupled partial differential equations with mixed boundary conditions.

    Authors: Der-Chen Chang, Tristan Nguyen, Gang Wang and Norman M. Wereley

    Citation: Journal of Inequalities and Applications 2006 2006:32356

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  15. Content type: Research Article

    We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Little...

    Authors: Árpád Bényi and Choonghong Tadahiro Oh

    Citation: Journal of Inequalities and Applications 2006 2006:28582

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  16. Content type: Research Article

    Using maximal element theorem, we prove some existence theorems for the two types of generalized vector quasi-variational-like inequalities with non-monotonicity and non-compactness.

    Authors: Jian-Wen Peng and Xin-Min Yang

    Citation: Journal of Inequalities and Applications 2006 2006:59387

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  17. Content type: Research Article

    We introduce new and interesting model of system of generalized set-valued equilibrium problems which generalizes and unifies the system of set-valued equilibrium problems, the system of generalized implicit v...

    Authors: Jian-Wen Peng

    Citation: Journal of Inequalities and Applications 2006 2006:16764

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  18. Content type: Research Article

    A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are pro...

    Authors: Givi Berikelashvili

    Citation: Journal of Inequalities and Applications 2006 2006:93858

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  19. Content type: Research Article

    We establish some complements of Cauchy's inequality on time scales. These results extend some inequalities given by Cargo, Diaz, Goldman, Greub, Kantorovich, Makai, Metcalf, Pólya, Rheinboldt, Schweitzer, and...

    Authors: Cheh-Chih Yeh, Huei-Lin Hong, Horng-Jaan Li and Shiueh-Ling Yu

    Citation: Journal of Inequalities and Applications 2006 2006:97430

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