1,720,961 research outputs found
Some remarks about dimension reduction for
No full textThe paper is devoted to study 3D–2D dimension reduction for non-homogeneous −Δ1, by means of power law
approximation and Γ-convergence
Analytical diagonalization study of a two-orbital Hubbard model on a two-site molecule
No full textWe present the exact solution of a two-orbital Hubbard model on a two-site molecule for arbitrary electron filling and arbitrary interaction couplings. The knowledge of the many-particle spectrum, determined via a diagonalization procedure performed by fully taking into account the symmetry properties of the model, has been used to investigate the temperature dependence of charge, spin and orbital response functions as well as of the intra- and inter-orbital on-site occupations. We point out that this study may allow easy access to many interesting features of the model and may serve as a reference tool for various numerical or perturbation methods dealing with complex correlated electron models defined on a lattice, in particular in the case in which strong local interactions dominate over kinetic effects
On the uniqueness of blow-up solutions of fully nonlinear elliptic equations
Full text linkThis paper contains new uniqueness results of the boundary blow-up viscosity solutions of second order elliptic equations, generalizing a well known result of Marcus-Veron for the Laplace operator
Riesz capacity, maximum principle and removable sets of fully nonlinear second order elliptic operators
No full textIn this paper we show sufficient conditions for the extended maximum principle and the removable singularities for viscosity solutions of fully nonlinear second-order elliptic equations via Riesz and logarithmic capacity
Some recent results on the mathematical modeling of thin structures:the case of 1-Laplacian.
No full text
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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