Results 11 to 20 of about 27,463 (215)
Existence of minimizers for Kohn-Sham within the Local Spin Density Approximation [PDF]
, 2014 The purpose of this article is to extend the work by Anantharaman and Canc\`es [1], and prove the existence of minimizers for the spin-polarized Kohn-Sham model in the presence of a magnetic field within the local spin density approximation. We show that
Gontier, David
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Image reconstruction in optical interferometry: Benchmarking the regularization [PDF]
, 2011 With the advent of infrared long-baseline interferometers with more than two telescopes, both the size and the completeness of interferometric data sets have significantly increased, allowing images based on models with no a priori assumptions to be ...
Besnerais +27 more
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Constructing solutions for a kinetic model of angiogenesis in annular domains [PDF]
, 2016 We prove existence and stability of solutions for a model of angiogenesis set in an annular region. Branching, anastomosis and extension of blood vessel tips are described by an integrodifferential kinetic equation of Fokker-Planck type supplemented with
Carpio, Ana +2 more
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Existence of groundstates for a class of nonlinear Choquard equations [PDF]
, 2012 We prove the existence of a nontrivial solution (u \in H^1 (\R^N)) to the nonlinear Choquard equation [- \Delta u + u = \bigl(I_\alpha \ast F (u)\bigr) F' (u) \quad \text{in (\R^N),}] where (I_\alpha) is a Riesz potential, under almost necessary ...
Jean, Van Schaftingen, Vitaly Moroz
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Hydrodynamic and mass transfer in inertial gas–liquid flow regimes through straight and meandering millimetric square channels [PDF]
, 2011 Heat-exchanger reactors are an important part of process intensification technology. For plate geometries, one solution for intensifying transfer and increasing residence times is to construct two-dimensional meandering channels.
Cabassud, Michel +3 more
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The concentration-compactness principle for variable exponent spaces and applications
Electronic Journal of Differential Equations, 2009 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.
Fernandez Bonder, Julian, Silva, Analia
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Reduction and a Concentration-Compactness Principle for Energy-Casimir Functionals [PDF]
SIAM Journal on Mathematical Analysis, 2001 23 ...
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Concentration-compactness at the mountain pass level in semilinear elliptic problems
, 2007 The concentration compactness framework for semilinear elliptic equations without compactness, set originally by P.-L.Lions for constrained minimization in the case of homogeneous nonlinearity, is extended here to the case of general nonlinearities in ...
TIntarev, Kyril
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, 2013 We obtain an improved Sobolev inequality in H^s spaces involving Morrey norms. This refinement yields a direct proof of the existence of optimizers and the compactness up to symmetry of optimizing sequences for the usual Sobolev embedding. More generally,
Palatucci, Giampiero, Pisante, Adriano
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Mathematics in Engineering, 2022 <abstract><p>In this paper we establish some variants of the celebrated concentration–compactness principle of Lions – CC principle briefly – in the classical and fractional Folland–Stein spaces. In the first part of the paper, following the main ideas of the pioneering papers of Lions, we prove the CC principle and its variant, that is the
Patrizia Pucci, Letizia Temperini
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