Espaces et intersections d'espaces d'Orlicz non localement convexes
Espaces relatifs à une famille de mesures
Étude de l’intersection pour un ensemble de mesures positives bornées sur un espace (ou un groupe commutatif) localement compact.Pour un espace localement compact, on étudie les rapports entre les propriétés de compacité de , la densité de certains sous-espaces, le dual et le bidual de ces sous-espaces, la compacité des applications canoniques.Pour un groupe commutatif localement compact de dual , certaines de ces propriétés sont liées à la continuité de l’application et à la compacité relative...
Espaces vectoriels topologiques non localement convexes, espaces d'Orlicz
Espacios Lα e integración bornológica.
Essential norm of weighted composition operators on the Dirichlet space.
In this paper, we characterize boundedness and compactness of weighted composition operators on the Dirichlet space and obtain the estimates for the essential norm.
Essential supremum norm differentiability.
Estimates of rearrangements and embedding theorems
Exact -monotonicity of one class of Banach pairs.
Exceptional sets for solutions to quasilinear parabolic equations in weighted Sobolev spaces.
Exemples d'utilisation de la théorie des applications radonifiantes
Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces.
Existence of entropy solutions for some nonlinear problems in Orlicz spaces.
Existence of solutions of strongly nonlinear elliptic equations in RN.
The paper is dedicated to the existence of local solutions of strongly nonlinear equations in RN and the Orlicz spaces framework is used.
Existence of weak solutions for steady flows of electrorheological fluid with Navier-slip type boundary conditions
We prove the existence of weak solutions for steady flows of electrorheological fluids with homogeneous Navier-slip type boundary conditions provided . To prove this, we show Poincaré- and Korn-type inequalities, and then construct Lipschitz truncation functions preserving the zero normal component in variable exponent Sobolev spaces.
Existence results for a class of nonlinear parabolic equations in Orlicz spaces.
Existence theorems for boundary value problems for strongly nonlinear elliptic systems.
Existence Theorems for the Dirichlet Elliptic Inclusion Involving Exponential-Growth-Type Multivalued Right-Hand Side
We present two existence results for the Dirichlet elliptic inclusion with an upper semicontinuous multivalued right-hand side in exponential-type Orlicz spaces involving a vector Laplacian, subject to Dirichlet boundary conditions on a domain Ω⊂ ℝ². The first result is obtained via the multivalued version of the Leray-Schauder principle together with the Nakano-Dieudonné sequential weak compactness criterion. The second result is obtained by using the nonsmooth variational technique together with...
Explicit formulas for optimal rearrangement-invariant norms in Sobolev imbedding inequalities
We study imbeddings of the Sobolev space : = u: Ω → ℝ with < ∞ when |α| ≤ m, in which Ω is a bounded Lipschitz domain in ℝⁿ, ϱ is a rearrangement-invariant (r.i.) norm and 1 ≤ m ≤ n - 1. For such a space we have shown there exist r.i. norms, and , that are optimal with respect to the inclusions . General formulas for and are obtained using the -method of interpolation. These lead to explicit expressions when ϱ is a Lorentz Gamma norm or an Orlicz norm.
Extension of operators from weak*-closed sub-spaces of into C(K) spaces
It is proved that every operator from a weak*-closed subspace of into a space C(K) of continuous functions on a compact Hausdorff space K can be extended to an operator from to C(K).
Extension of the best approximation operator in Orlicz spaces.