Results 121 to 130 of about 31,295 (230)
Optimal partition problems for the fractional Laplacian [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2017 In this work, we prove an existence result for an optimal partition problem of the form $$\min \{F_s(A_1,\dots,A_m)\colon A_i \in \mathcal{A}_s, \, A_i\cap A_j =\emptyset \mbox{ for } i\neq j\},$$ where $F_s$ is a cost functional with suitable assumptions of monotonicity and lowersemicontinuity, $\mathcal{A}_s$ is the class of admissible domains and ...
openaire +6 more sources
Methods in Ecology and Evolution, EarlyView.Abstract Quantifying the structure and dynamics of species interactions in ecological communities is fundamental to studying ecology and evolution. While there are numerous approaches to analysing ecological networks, there is not yet an approach that can (1) quantify dissimilarity in the global structure of ecological networks that range from ...
Kai M. Hung +4 more
wiley +1 more source
Estimates of Green functions for some perturbations of fractional Laplacian [PDF]
, 2007 Tomasz Grzywny, Michał Ryznar
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Brain Pathology, EarlyView.To assess neurofilament light chain (NfL) as a biomarker of peripheral nerve damage, we correlated serumNfL concentrations with histopathological parameters from matched sural nerve biopsies. SerumNfL levels correlated with markers of acute axonal degeneration, but not with parameters reflecting chronic axonal loss.
Simon Streit +10 more
wiley +1 more source
Nonexistence results of solutions for some fractional $p$-Laplacian equations in $\mathbb{R}^{N}$
Electronic Journal of Qualitative Theory of Differential EquationsIn the present paper, we study the nonexistence of nontrivial weak solutions to a class of fractional $p$-Laplacian equation in two cases which are $sp > N$ and $sp < N$.
Yuxin Chen, Haidong Liu
doaj +1 more source
Gamma convergence of an energy functional related to the fractional Laplacian [PDF]
, 2009 María del Mar González
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A complex network perspective on brain disease
Biological Reviews, EarlyView.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
Cryptocurrency Bubbles and Costly Mining
International Economic Review, EarlyView.ABSTRACT This paper develops a model of a cryptocurrency by incorporating mining into the otherwise standard search‐theoretic monetary framework. As usual, multiple equilibria exist. To obtain a sharp prediction on whether a cryptocurrency' s value will last in the future, I propose a notion of equilibrium refinement based on the feature that mining ...
Kohei Iwasaki
wiley +1 more source
On Shape Optimization Theory With Fractional p-Laplacian Operators
Abstract and Applied AnalysisThe focus of this paper is the investigation of shape optimization problems with operators such as fractional Laplacian and p-Laplacian operators, that is, −Δs and −Δps, where ...
Malick Fall +3 more
doaj +1 more source
The Journal of Finance, EarlyView.ABSTRACT We assess the long‐term effects of managerial stress on aging and mortality. Using a difference‐in‐differences design, we apply neural network–based machine‐learning techniques to CEOs' facial images and show that exposure to industry distress shocks during the Great Recession produces visible signs of aging. We estimate a one‐year increase in
MARK BORGSCHULTE +3 more
wiley +1 more source