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Structural stability for variable exponent elliptic problems, ii: the p(u)-laplacian and coupled problems
(PERGAMON-ELSEVIER SCIENCE LTD, 2010)
Renormalized solutions for a nonlinear parabolic equation with variable exponents and l(1)-data
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
Continuously variable spreading exponents in the absorbing Nagel-Schreckenberg model
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE FÍSICAUFMG, 2018)
A generalization of the boundedness of certain integral operators in variable lebesgue spaces
(Element D.O.O., 2020-06)
Let n ε N. Let A1, ...Am be n×n invertible matrices. Let 0 ≤ α < n and 0 < αi < n such that α1 +...+αm = n-α . We define In [8] we obtained the boundedness of this operator from Lp(.)(Rn) into Lq(.)(Rn) for 1/q(.) = 1/p(.) ...
Traces for fractional Sobolev spaces with variable exponents
(Tusi Mathematical Research Group, 2017-09)
In this note we prove a trace theorem in fractional spaces with variable exponents. To be more precise, we show that if p: Ω × Ω → (1,∞) and q : ∂Ω → (1,∞) are continuous functions such that (n − 1)p(x, x) n − sp(x, x) > ...
An extension of a theorem of V. Šverák to variable exponent spaces
(American Institute of Mathematical Sciences, 2015-09)
In 1993, V. Šverák proved that if a sequence of uniformly bounded domains Ωn ℝ2 such that Ωn → Ω in the sense of the Hausdorff complementary topology, verify that the number of connected components of its complements are ...
Order of convergence of the finite element method for the p(x)-Laplacian
(Oxford University Press, 2014-02)
In this work, we study the rate of convergence of the finite element method for the p(x) Laplacian (1<p1≤p(x)≤p2≤2) in a bounded convex domain in R2.
Two-Weight Norm Inequalities for the Local Maximal Function
(Springer, 2017-01)
For a local maximal function defined on a certain family of cubes lying “well inside” of Ω , a proper open subset of Rn, we characterize the couple of weights (u, v) for which it is bounded from Lp(v) on Lq(u).
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 ...