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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 ...
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. ...
Concentration-compactness principle for variable exponent spaces and applications
(Texas State University, 2010-10)
In this article, we extend the well-known concentration - compactness principle by Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)-Laplacian with critical growth.
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 ...
Ecuaciones lineales
(2015-07-01)
An equation is an equality where at least there is an unknown number, called unknown or variable, and that is true for certain numerical value of the unknown.
They are called linear equations or first-degree algebraic ...
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.
Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L¹-Data
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)