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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 ...
Achievable error exponents for the two-way parallel DMC
(Institute of Electrical and Electronics Engineers, 2021)
We investigate error exponent regions for the parallel two-way DMC in which each terminal sends its own message and provides feedback to the other terminal. Various error exponents are presented in different rate-region ...
Leyes de los Exponentes
(2017-08-31)
Exponents are a way of expressing the multiplication of an
expression by itself a certain number of times.
When evaluating and simplifying exponents, we use the
Laws of Exponents, a series of rules that help us find ...
Roughness exponents and grain shapes
(Roughness exponents and grain shapes, 2018)
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 ...
A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces
(Academic Press Inc Elsevier Science, 2016-10)
In this paper, we study the critical Sobolev embeddings W1,p(.)(Ω)⊂Lp*(.)(Ω) for variable exponent Sobolev spaces from the point of view of the Γ-convergence. More precisely we determine the Γ-limit of subcritical approximation ...
Existence of solution to a critical trace equation with variable exponent
(IOS Press, 2015-06)
In this paper we study sufficient local conditions for the existence of non-trivial solution to a critical equation for the p(x)-Laplacian where the critical term is placed as a source through the boundary of the domain. ...
The Liapunov exponent as a tool for exploring phase space
(Kluwer Academic Publ, 1996-01-01)
We have used the Liapunov exponent to explore the phase space of a dynamical system. Considering the planar, circular restricted three-body problem for a mass ratio mu = 10(-3) (close to the Jupiter/Sun case), we have ...