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The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem
(Birkhauser Verlag Ag, 2018-12)
In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some ...
A posteriori error estimates for elliptic problems with Dirac measure terms in weighted spaces
(Edp Sciences, 2014-02)
In this article we develop a posteriori error estimates for second order linear elliptic problems with point sources in two- and three-dimensional domains. We prove a global upper bound and a local lower bound for the error ...
A posteriori error estimates for elliptic problems with Dirac measure terms in weighted spaces
(2014)
In this article we develop a posteriori error estimates for second order linear elliptic problems with point sources in two- and three-dimensional domains. We prove a global upper bound and a local lower bound for the error ...
Existence and fractional regularity of solutions for a doubly nonlinear differential inclusion
(Springer Basel AgBaselSuíça, 2013)
Regularity theory and high order numerical methods for the (1D)-fractional Laplacian
(American Mathematical Society, 2017-03)
This paper presents regularity results and associated high-order numerical methods for one-dimensional Fractional-Laplacian boundary-value problems. On the basis of a factorization of solutions as a product of a certain ...
Bifurcation And Multiplicity Results For Critical Nonlocal Fractional Laplacian Problems
(Elsevier Masson SAS, 2016)
Discontinuous Petrov-Galerkin boundary elements
(2017)
Generalizing the framework of an ultra-weak formulation for a hypersingular integral equation on closed polygons in Heuer and Pinochet (SIAM J Numer Anal: 52(6), 2703-2721, 2014), we study the case of a hypersingular ...
Mild Solutions To The Time Fractional Navier-stokes Equations In Rn
(Academic Press Inc., 2015)