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Caracterización de espacios de Orlicz pesados a través de wavelets
(2011-03-14)
This paper presents wavelet characterizations through heavy space Orlicz type standards, such as heavy Orlicz spaces, Orlicz-Sobolev and Hardy-Orlicz. For the study of Orlicz spaces and Orlicz-Sobolev weight used various ...
Fractional order Orlicz-Sobolev spaces
(Academic Press Inc Elsevier Science, 2019-04)
In this paper we define the fractional order Orlicz-Sobolev spaces, and prove its convergence to the classical Orlicz-Sobolev spaces when the fractional parameter s↑1 in the spirit of the celebrated result of Bourgain-Br ...
Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces
(IOS Press, 2022)
In this note we prove the validity of the Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz-Sobolev spaces. This complements a previous asymptotic study of the limit as s ↑ 1 performed by the second author in ...
Magnetic fractional order orlicz-sobolev spaces
(Polish Academy of Sciences. Institute of Mathematics, 2021-01)
We define the notion of nonlocal magnetic Sobolev spaces with nonstandard growth for Lipschitz magnetic fields. In this context we prove a Bourgain-Brezis- Mironescu type formula for functions in this space as well as for ...
Radial solutions of quasilinear equations in Orlicz-Sobolev type spaces
(ElsevierSan Diego, 2015-08)
This paper is devoted to prove the existence of a nontrivial nonnegative radial solution for the quasilinear elliptic equation [...] The function ϕ is allowed to belong to a larger class, which includes the special cases ...
Asymptotic Behaviours in Fractional Orlicz–Sobolev Spaces on Carnot Groups
(Springer, 2020-03)
In this article, we define a class of fractional Orlicz–Sobolev spaces on Carnot groups, and in the spirit of the celebrated results of Bourgain–Brezis–Mironescu and of Maz’ya–Shaposhnikova, we study the asymptotic behaviour ...
A constrained shape optimization problem in Orlicz-Sobolev spaces
(Academic Press Inc Elsevier Science, 2019-06)
In this manuscript we study the following optimization problem: given a bounded and regular domain Ω⊂RN we look for an optimal shape for the “W−vanishing window” on the boundary with prescribed measure over all admissible ...
Some existence results on periodic solutions of Euler–Lagrange equations in an Orlicz–Sobolev space setting
(Pergamon-Elsevier Science Ltd, 2015-09)
In this paper we consider the problem of finding periodic solutions of certain Euler-Lagrange equations. We employ the direct method of the calculus of variations, i.e. we obtain solutions minimizing certain functional I. ...
Periodic solutions of Euler-Lagrange equations with sublinear potentials in an Orlicz-Sobolev space setting
(Instytut Matematyki UMCS, 2017-12)
In this paper, we obtain existence results of periodic solutions of hamiltoniansystems in the Orlicz-Sobolev space W^1 LPsi([0; T]). We employ the directmethod of calculus of variations and we consider a potential function ...