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Dissipation and its consequences in the scaling exponents for a family of two-dimensional mappings
(Iop Publishing Ltd, 2012-04-27)
The effects and consequences of dissipation in the scaling exponents describing the behaviour of average properties over the chaotic dynamics for a family of two-dimensional mappings are studied. The mapping is parametrized ...
Commutators of Singular Integrals with Kernels Satisfying Generalized Hörmander Conditions and Extrapolation Results to the Variable Exponent Spaces
(Springer, 2018-08)
We obtain boundedness results for the higher order commutators of singular integral operators between weighted Lebesgue spaces, including Lp-BMO and Lp-Lipschitz estimates. The kernels of such operators satisfy certain ...
On the existence of extremals for the critical Sobolev immersion with variable exponents
(Instituto de Matemática Bahía Blanca, 2013-12)
In this work we review some recent results conserning the existence problem of an extremal for the immersion W 1,p(x) 0 (Ω),→ L q(x) (Ω) in the critical range, i.e. A = {x ∈ Ω: q(x) = p ∗ (x)} 6= /0, where p ∗ (x) = N ...
A study of persistence analysis in climatic data from Salvador – Brazil
(2011)
Fractal geometry has been used frequently to characterize and describe natural models. Its
applications range from microscopic dimensions to the understanding of macroscopic processes. Following this principle, we studied ...
Local Bounds, Harnack's Inequality and Hölder Continuity for for divergence type elliptic equations with non-standard growth
(Unión Matemática Argentina, 2015-04)
We obtain a Harnack type inequality for solutions to elliptic equations in divergence form with non-standard p(x)-type growth. A model equation is the inhomogeneous p(x)-Laplacian. Namely, ∆p(x)u := div |∇u| p(x)−2∇u = ...
Uma classe de problemas de Dirichlet do tipo p(x)-laplaciano
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2019-04-11)
We study the following class of PDEs of �(�)-laplacian type
﹛−div (︂�(�, |∇�|)∇�)︂ = ��(�, �), if � ∈ Ω
�(�) = 0, if � ∈ �Ω,
where Ω ⊂ R� is a bounded domain with a Lipschitz boundary ...
Variable-length coding error exponents for the AWGN channel with noisy feedback at zero-rate
(Institute of Electrical and Electronics Engineers Inc., 2019)
A one-way additive white Gaussian noise (AWGN) channel with active feedback sent over another AWGN feedback channel is considered. Achievable error exponents are presented in the finite message / zero-rate regime for a ...
Hardy Spaces with Variable Exponents
(Birkhäuser, 2019)
In this paper, we gather the essential contents of the talk ?Hardy spaces with variable exponents given by the second author at the CIMPA2017 Research School-IXEscuela Santaló Harmonic Analysis, Geometric Measure Theory ...
A minimization problem for the p(x)-Laplacian involving area
(Springer Heidelberg, 2021-03-04)
In the present article we study a minimization problem in RN involving the perimeter of the positivity set of the solution u and the integral of | ∇ u| p(x). Here p(x) is a Lipschitz continuous function such that 1 < pmin≤ ...
L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques
(Heldermann Verlag, 2020-09)
Given a matrix A such that AM = I and 0 ≤ α < n, for an exponent p satisfying p(Ax) = p(x) for a.e. x ∈ Rn, using extrapolation techniques,we obtain Lp(·) → Lq(·) boundedness, 1/q(·) = 1/p(·) - α/n, andweak type estimates ...