On the inequality of weierstrass for nonlocal functionals
Journal of Inequalities and Applications, 2001 The aim of this paper is to consider the problem of extremum of the nonlocal functional, which depends on a function and its derivative with respect to at several values of .
Kamenskii GA, Zabrodina Ju P
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System-conditioned reparameterization of the SCAN functional for accurate bandgaps: from analytical constraints to machine learning [PDF]
npj Computational MaterialsThis work investigates how reparametrizing the Strongly Constrained and Appropriately Normed (SCAN) exchange-correlation (XC) functional within density functional theory affects predictions of the electronic bandgap (E g ) for solids.
Viviana Dovale-Farelo +6 more
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Fixed-point topology meets fractal memory: a Kutumba-stabilized framework for nonlocal fractal–fractional dynamics [PDF]
Scientific ReportsThis paper presents an innovative synthesis of generalised fixed-point theory, advanced topological degree methodologies, and high-order computational frameworks for memory-driven dynamical systems. We expand contraction principles in complete metric and
R. Aruna Devi +6 more
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BV Functions and Nonlocal Functionals in Metric Measure Spaces
Journal of Geometric AnalysisAbstractWe study the asymptotic behavior of three classes of nonlocal functionals in complete metric spaces equipped with a doubling measure and supporting a Poincaré inequality. We show that the limits of these nonlocal functionals are comparable to the total variation $$\Vert Df\Vert (\Omega )$$ ‖
Panu Lahti +2 more
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Fast All-Electron Hybrid Functionals and Their Application to Rare-Earth Iron Garnets
Frontiers in Materials, 2022 Virtual materials design requires not only the simulation of a huge number of systems, but also of systems with ever larger sizes and through increasingly accurate models of the electronic structure.
Matthias Redies +10 more
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Factorization method for solving nonlocal boundary value problems in Banach space [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 This article deals with the factorization and solution of nonlocal boundary value problems in a Banach space of the abstract form B1 u = A u - S Φ( u )- G Ψ(A0 u) = f, u ∈ D (B1) , where A, A0 are linear abstract operators, S, G are vectors of functions,
I.N. Parasidis, E. Providas
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Version 2.0.0 - M-SPARC: Matlab-Simulation Package for Ab-initio Real-space Calculations
SoftwareX, 2023 M-SPARC is a Matlab code for performing ab initio Kohn–Sham Density Functional Theory simulations. Version 2.0.0 of the software further extends its capability to include relativistic effects, dispersion interactions, and advanced semilocal/nonlocal ...
Boqin Zhang +3 more
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Ground state solution for a class of supercritical nonlocal equations with variable exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we obtain the existence of positive critical point with least energy for a class of functionals involving nonlocal and supercritical variable exponent nonlinearities by applying the variational method and approximation techniques. We apply
Xiaojing Feng
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Strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals [PDF]
Opuscula Mathematica, 2009 The aim of the paper is to give strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals in relatively arbitrary \((n+1)\)-dimensional time-space sets more general than the ...
Ludwik Byszewski
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Green's function for nonlocal potentials [PDF]
Journal of Physics G: Nuclear and Particle Physics, 1998 Accepted for publication in J.
Balantekin, A. B. +2 more
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