Search results for "Equality."

Self-improving properties of generalized Orlicz-Poincaré inequalities

2006

Regularity properties for quasiminimizers of a $(p,q)$-Dirichlet integral

2021

Using a variational approach we study interior regularity for quasiminimizers of a $(p,q)$-Dirichlet integral, as well as regularity results up to the boundary, in the setting of a metric space equipped with a doubling measure and supporting a Poincar\'{e} inequality. For the interior regularity, we use De Giorgi type conditions to show that quasiminimizers are locally H\"{o}lder continuous and they satisfy Harnack inequality, the strong maximum principle, and Liouville's Theorem. Furthermore, we give a pointwise estimate near a boundary point, as well as a sufficient condition for H\"older continuity and a Wiener type regularity condition for continuity up to the boundary. Finally, we cons…

Higher Order Sobolev-Type Spaces on the Real Line

2014

This paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces.

Pointwise Hardy inequalities and uniformly fat sets

2008

We prove that it is equivalent for domain in R n \mathbb {R}^n to admit the pointwise p p -Hardy inequality, have uniformly p p -fat complement, or satisfy a uniform inner boundary density condition.

Pointwise Inequalities for Sobolev Functions on Outward Cuspidal Domains

2019

Abstract We show that the 1st-order Sobolev spaces $W^{1,p}(\Omega _\psi ),$$1<p\leq \infty ,$ on cuspidal symmetric domains $\Omega _\psi $ can be characterized via pointwise inequalities. In particular, they coincide with the Hajłasz–Sobolev spaces $M^{1,p}(\Omega _\psi )$.

Introduction: Nordic Girlhoods—New Perspectives and Outlooks

2017

In the Introduction, Bodil Formark, Heta Mulari and Myry Voipio discuss the history, key themes, and societal position of Nordic girlhood studies. They focus on the development of the research field in Nordic countries and pay special analytical attention to gender equality and the societal model known as the Nordic model. They also discuss femininity as a political issue in Nordic feminist politics and research and contemplate the specific academic and linguistic boundary conditions of doing Girlhood Studies in the Nordic countries.

Améliorer l'école

2006

06003; "L'idée que l'école peut s'améliorer n'est pas qu'un acte de foi. Les recherches empiriques en sciences sociales mettent en évidence que l'école agit à partir d'un contexte social qui en détermine fortement les effets mais que, dans un contexte semblable, certaines approches pédagogiques, certains établissements, certains systèmes éducatifs produisent des effets différents : des élèves faibles moins faibles, des inégalités sociales moins élevées. La recherche en sciences sociales peut contribuer à cette amélioration de plusieurs façons, à la condition de se rappeler que la transformation radicale de l'école n'est pas possible, que les obstacles rencontrés par les élèves ne sont pas d…

L'échec scolaire : rouages sociaux, politiques possibles

2003

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Partiti populisti, diritti e uguaglianza di genere

2021

The Great Recession changed the political landscape of the European democracies with the electoral success of populist protest parties in different countries. In this article, we wonder if there are features that characterized these political parties about the issues of gender equality and women’s rights. Populism and feminization of politics are recurring topics in the scholars’ debate, but the relationships between these two phenomena are still little studied. Seeing as the issue is linked to context, and not only to the political parties’ differences, we will focus on three illustrative cases, in different European nations – Spain, Finland, Poland – analysing scientific literature and do…

Stability and l1-gain analysis for positive 2D T–S fuzzy state-delayed systems in the second FM model

2014

This paper considers the problems of delay-dependent stability and l"1-gain analysis for a class of positive two-dimensional (2D) Takagi-Sugeno (T-S) fuzzy linear systems with state delays described by the second FM model. Firstly, the co-positive type Lyapunov function method is applied to establish sufficient conditions of asymptotical stability for the addressed positive 2D T-S fuzzy system. Then, the l"1-gain performance analysis for the positive 2D T-S fuzzy delayed system is studied. All the obtained results are formulated in the form of linear matrix inequalities (LMIs) which are computationally tractable. Finally, an illustrative example is given to verify the effectiveness of the p…