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Inequalities in the A-Harmonic Equations and the Related Topics

  1. Research Article

    http://static-content.springer.com/image/art%3A10.1155%2F2010%2F589040/MediaObjects/13660_2009_Article_2194_IEq1_HTML.gif -Weighted Inequalities with Lipschitz and BMO Norms

    We first define a new kind of http://static-content.springer.com/image/art%3A10.1155%2F2010%2F589040/MediaObjects/13660_2009_Article_2194_IEq2_HTML.gif two-weight, then obtain some two-weight integral inequalities with Lipschitz norm and BMO norm for Green'...

    Yuxia Tong, Juan Li and Jiantao Gu

    Journal of Inequalities and Applications 2010 2010:589040

    Published on: 27 June 2010

  2. Research Article

    Periodic Systems Dependent on Parameters

    This paper is concerned with a periodic system dependent on parameter. We study differentiability with respect to parameters of the periodic solution of the system. Applying a fixed point theorem and the resul...

    Min He

    Journal of Inequalities and Applications 2010 2010:796165

    Published on: 3 June 2010

  3. Research Article

    Orlicz Sequence Spaces with a Unique Spreading Model

    We study the set of all spreading models generated by weakly null sequences in Orlicz sequence spaces equipped with partial order by domination. A sufficient and necessary condition for the above-mentioned set...

    Cuixia Hao, Linlin Lü and Hongping Yin

    Journal of Inequalities and Applications 2010 2010:962842

    Published on: 31 May 2010

  4. Research Article

    On Harmonic Quasiconformal Quasi-Isometries

    The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Li...

    M Mateljević and M Vuorinen

    Journal of Inequalities and Applications 2010 2010:178732

    Published on: 9 May 2010

  5. Research Article

    The Obstacle Problem for the http://static-content.springer.com/image/art%3A10.1155%2F2010%2F767150/MediaObjects/13660_2009_Article_2244_IEq1_HTML.gif -Harmonic Equation

    Firstly, we define an order for differential forms. Secondly, we also define the supersolution and subsolution of the http://static-content.springer.com/image/art%3A10.1155%2F2010%2F767150/MediaObjects/13660_2009_Article_2244_IEq2_HTML.gif -harmonic equation...

    Zhenhua Cao, Gejun Bao and Haijing Zhu

    Journal of Inequalities and Applications 2010 2010:767150

    Published on: 7 April 2010

  6. Research Article

    First-Order Twistor Lifts

    The use of twistor methods in the study of Jacobi fields has proved quite fruitful, leading to a series of results. L. Lemaire and J. C. Wood proved several properties of Jacobi fields along harmonic maps from...

    Bruno Ascenso Simões

    Journal of Inequalities and Applications 2010 2010:594843

    Published on: 7 April 2010

  7. Research Article

    The Convergence Rate for a http://static-content.springer.com/image/art%3A10.1155%2F2010%2F249507/MediaObjects/13660_2009_Article_2095_IEq1_HTML.gif -Functional in Learning Theory

    It is known that in the field of learning theory based on reproducing kernel Hilbert spaces the upper bounds estimate for a http://static-content.springer.com/image/art%3A10.1155%2F2010%2F249507/MediaObjects/13660_2009_Article_2095_IEq2_HTML.gif -functional ...

    Bao-Huai Sheng and Dao-Hong Xiang

    Journal of Inequalities and Applications 2010 2010:249507

    Published on: 15 March 2010

  8. Research Article

    Wiman and Arima Theorems for Quasiregular Mappings

    Wiman's theorem says that an entire holomorphic function of order less than 1/2 has a minimum modulus converging to http://static-content.springer.com/image/art%3A10.1155%2F2010%2F604217/MediaObjects/13660_2009_Article_2202_IEq1_HTML.gif along a sequence. A...

    O Martio, VM Miklyukov and M Vuorinen

    Journal of Inequalities and Applications 2010 2010:604217

    Published on: 1 March 2010

  9. Research Article

    Weighted Inequalities for Potential Operators on Differential Forms

    We develop the weak-type and strong-type inequalities for potential operators under two-weight conditions to the versions of differential forms. We also obtain some estimates for potential operators applied to...

    Hui Bi

    Journal of Inequalities and Applications 2010 2010:713625

    Published on: 14 February 2010

  10. Research Article

    Asymptotic Behavior of Solutions of a Periodic Diffusion Equation

    We consider a degenerate parabolic equation with logistic periodic sources. First, we establish the existence of nontrivial nonnegative periodic solutions by monotonicity method. Then by using Moser iterative ...

    Jiebao Sun, Boying Wu and Dazhi Zhang

    Journal of Inequalities and Applications 2010 2010:597569

    Published on: 18 January 2010

  11. Research Article

    General Comparison Principle for Variational-Hemivariational Inequalities

    We study quasilinear elliptic variational-hemivariational inequalities involving general Leray-Lions operators. The novelty of this paper is to provide existence and comparison results whereby only a local gro...

    Siegfried Carl and Patrick Winkert

    Journal of Inequalities and Applications 2009 2009:184348

    Published on: 2 August 2009