Über die Existenz von Schauderbasen in Sobolev-Besov-Räumen. Isomorphiebeziehungen
Über eine Klasse symmetrischer idealer Funktionenräume nebst Anwendungen
Un espace fonctionnel pour les équations de la plasticité
Un théorème de l'indice relatif
Un théorème de valeurs intermédiaires dans les espaces de Sobolev et applications
Una classe di soluzioni asintotiche per una equazione ellittica degenere
Una generalizzazione di certe disuguaglianze di E. Gagliardo e L. Nirenberg
Una nota sobre los espacios de Sobolev.
Una nota sobre los espacios de Sobolev anisótropos vectoriales LΓp (E)*.
Une condition asymptotique pour le calcul de constantes de Sobolev logarithmiques sur la droite
On présente une formule explicite pour la constante de Sobolev logarithmique correspondant à des diffusions réelles ou à des processus entiers de vie et de mort, sous l’hypothèse que certaines quantités, naturellement associées à des inégalités de Hardy dans ce contexte, approchent leur supremum au bord de leur domaine de définition. La preuve se ramène au cas de la constante de Poincaré, à l’aide de comparaisons exactes entre entropie et variances appropriées.
Uniform domains and -domains in Carnot groups.
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We study smoothness spaces generated by maximal functions related to the local approximation errors of integral operators. It turns out that in certain cases these smoothness classes coincide with the spaces , 0 < p≤∞, introduced by DeVore and Sharpley [DS] by means of the so-called sharp maximal functions of Calderón and Scott. As an application we characterize the spaces in terms of the coefficients of wavelet decompositions.
Variable Besov and Triebel--Lizorkin spaces.
Variable exponent Sobolev spaces with zero boundary values
We study different definitions of the first order variable exponent Sobolev space with zero boundary values in an open subset of .
Variable exponent trace spaces
The trace space of consists of those functions on ℝⁿ that can be extended to functions of (as in the fixed-exponent case). Under the assumption that p is globally log-Hölder continuous, we show that the trace space depends only on the values of p on the boundary. In our main result we show how to define an intrinsic norm for the trace space in terms of a sharp-type operator.
Variable Sobolev capacity and the assumptions on the exponent
In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.
Variational fractals
Variational inequalities for energy functionals with nonstandard growth conditions.
Variational inequalities of strongly nonlinear elliptic operators of infinite order.
Variational inequalities of strongly nonlinear elliptic operators of infinite order.