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Crystalline variational methods [PDF]
Proceedings of the National Academy of Sciences, 2002 A surface free energy function is defined to be crystalline if its Wulff shape (the equilibrium crystal shape) is a polyhedron. All the questions that one considers for the area functional, where the surface free energy per unit area is 1 for all normal directions, can be considered for crystalline surface free energies.
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Off-The-Grid Variational Sparse Spike Recovery: Methods and Algorithms
Journal of Imaging, 2021 Gridless sparse spike reconstruction is a rather new research field with significant results for the super-resolution problem, where we want to retrieve fine-scale details from a noisy and filtered acquisition.
Bastien Laville +2 more
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Some Aspects of Extended General Variational Inequalities
Abstract and Applied Analysis, 2012 Noor (“Extended general variational inequalities,” 2009, “Auxiliary principle technique for extended general variational inequalities,” 2008, “Sensitivity analysis of extended general variational inequalities,” 2009, “Projection iterative methods for ...
Muhammad Aslam Noor
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Extended Extragradient Methods for Generalized Variational Inequalities
Journal of Applied Mathematics, 2012 We suggest a modified extragradient method for solving the generalized variational inequalities in a Banach space. We prove some strong convergence results under some mild conditions on parameters. Some special cases are also discussed.
Yonghong Yao +3 more
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Regularization and Iterative Methods for Monotone Variational Inequalities
Fixed Point Theory and Applications, 2010 We provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator. We also introduce an iterative method as discretization of the regularization method.
Xu Hong-Kun, Xu Xiubin
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Variational methods in the presence of symmetry
Advances in Nonlinear Analysis, 2013 The purpose of this paper is to survey and to provide a unified framework to connect a diverse group of results, currently scattered in the literature, that can be usefully viewed as consequences of applying variational methods to problems involving ...
Borwein Jonathan M., Zhu Qiji J.
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Boundary Value Problems, 2017 In this paper, we study the following nonlinear problem of Kirchhoff type: { − ( a + b ∫ R 3 | ∇ u | 2 ) Δ u + λ V ( x ) u = | u | p − 2 u , in R 3 , u ∈ H 1 ( R 3 ) , $$ \textstyle\begin{cases} - ( a + b\int_{{\mathbb{R}^{3}}} \vert {\nabla u} \vert ...
Danqing Zhang, Guoqing Chai, Weiming Liu
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Evaluation and Comparison of the Configuration Interaction Calculations for Complex Atoms
Atoms, 2014 Configuration interaction (CI) methods are the method of choice for the determination of wave functions for complex atomic systems from which a variety of atomic properties may be computed.
Charlotte Froese Fischer
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Self-adaptive subgradient extragradient-type methods for solving variational inequalities
Journal of Inequalities and Applications, 2022 In this paper, we introduce two subgradient extragradient-type algorithms for solving variational inequality problems in the real Hilbert space. The first one can be applied when the mapping f is strongly pseudomonotone (not monotone) and Lipschitz ...
Beibei Ma, Wanyu Wang
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Moving in the Dark: Enlightening the Spatial Population Ecology of European Cave Salamanders
Population Ecology, EarlyView.We assessed individual interactions, movement ecology and activity patterns of a subterranean population of Speleomantes strinatii, applying spatial capture–recapture modeling to a photographic dataset of 104 individuals. ABSTRACT Space use and movement are fundamental aspects of organisms' ecology, mirroring individual fitness, behavior, and life ...
Giacomo Rosa +2 more
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