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On a class of quasilinear elliptic problems involving critical exponents
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2000)
Local existence conditions for an equations involving the p(x) -Laplacian with critical exponent in RN
(Springer, 2017-04)
The purpose of this paper is to formulate sufficient existence conditions for a critical equation involving the p(x)-Laplacian of the form (0.1) below posed in RN. This equation is critical in the sense that the source ...
On the Sobolev trace Theorem for variable exponent spaces in the critical range
(Springer Heidelberg, 2013-05)
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then, we give local conditions ...
Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
(Univ Szeged, 2017-11)
In this article we extend the Sobolev spaces with variable exponents to include the fractional case, and we prove a compact embedding theorem of these spaces into variable exponent Lebesgue spaces. As an application we ...
Dependence of the crossover exponent with the diffusion rate in the generalized contact process model
(Sociedade Brasileira de Física, 2008)
We study how the crossover exponent, phi, between the directed percolation (DP) and compact directed percolation (CDP) behaves as a function of the diffusion rate in a model that generalizes the contact process. Our ...
A dynamical phase transition for a family of Hamiltonian mappings: A phenomenological investigation to obtain the critical exponents
(2015-05-31)
Abstract A dynamical phase transition from integrability to non-integrability for a family of 2-D Hamiltonian mappings whose angle, θ, diverges in the limit of vanishingly action, I, is characterised. The mappings are ...
Hurst exponent estimation of self-affine time series using quantile graphs
(Elsevier B.V., 2016-02-15)
In the context of dynamical systems, time series analysis is frequently used to identify the underlying nature of a phenomenon of interest from a sequence of observations. For signals with a self-affine structure, like ...
Cancellation exponents in helical and non-helical flows
(Cambridge University Press, 2010-04)
Helicity is a quadratic invariant of the Euler equation in three dimensions. As the energy, when present helicity cascades to smaller scales where it dissipates. However, the role played by helicity in the energy cascade ...
Lipschitz type smoothness of the fractional integral on variable exponent spaces
(Elsevier, 2013-02)
We give conditions on p(·) in order to assure boundedness of the fractional integral operator I_alpha from strong and weak L^p(·) spaces into suitable integral Lipschitz--type spaces.
Defining universality classes for three different local bifurcations
(2016-10-01)
The convergence to the fixed point at a bifurcation and near it is characterized via scaling formalism for three different types of local bifurcations of fixed points in differential equations, namely: (i) saddle-node; ...