Results 1 to 10 of about 6,692,173 (358)
Maximum principles and Bôcher type theorems. [PDF]
Proc Natl Acad Sci U S A, 2018 Significance The Bôcher theorem for fractional Laplacian extends the classical Bôcher theorem with a unified proof that can be adapted in other situations.
Li C, Wu Z, Xu H.
europepmc +4 more sources
Maximum principles for nonlocal parabolic Waldenfels operators [PDF]
Bulletin of Mathematical Sciences, 2019 As a class of Lévy type Markov generators, nonlocal Waldenfels operators appear naturally in the context of investigating stochastic dynamics under Lévy fluctuations and constructing Markov processes with boundary conditions (in particular the ...
Qiao Huang, Jinqiao Duan, Jiang-Lun Wu
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Maximum Principles for Discrete and Semidiscrete Reaction-Diffusion Equation [PDF]
Discrete Dynamics in Nature and Society, 2015 We study reaction-diffusion equations with a general reaction function f on one-dimensional lattices with continuous or discrete time ux′ (or Δtux)=k(ux-1-2ux+ux+1)+f(ux), x∈Z.
Petr Stehlík, Jonáš Volek
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Mixed local and nonlocal elliptic operators: regularity and maximum principles [PDF]
Communications in Partial Differential Equations, 2020 We develop a systematic study of the superpositions of elliptic operators with different orders, mixing classical and fractional scenarios. For concreteness, we focus on the sum of the Laplacian and the fractional Laplacian, and we provide structural ...
Stefano Biagi +3 more
semanticscholar +3 more sources
Maximum principles in analytical economics [PDF]
Synthese, 1971 The very name of my subject, economics, suggests economizing or maxi mizing. But Political Economy has gone a long way beyond home econo mics. Indeed, it is only in the last third of the century, within my own life time as a scholar, that economic theory has had many pretensions to being itself useful to the practical businessman or bureaucrat.
Samuelson, Paul A.
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Advances in Nonlinear Analysis, 2016 This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate P-functions, in the sense of Payne (see the book of Sperb [18]).
Barbu Luminita, Enache Cristian
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Maximum Principles for Laplacian and Fractional Laplacian with Critical Integrability
Journal of Geometric Analysis, 2019 In this paper, we study the maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider the critical cases for Laplacian with zero-order term and first-order term.
Congming Li, Yingshu Lü
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Well-posedness and maximum principles for lattice reaction-diffusion equations
Advances in Nonlinear Analysis, 2017 Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín +2 more
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Two maximum principles for a nonlinear fourth order equation from thin plate theory
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We develop two maximum principles for a nonlinear equation of fourth order that arises in thin plate theory. As a consequence, we obtain uniqueness results for the corresponding fourth order boundary value problem under Navier boundary conditions as ...
Cristian-Paul Danet
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Maximum principles and related problems for a class of nonlocal extremal operators [PDF]
Annali di Matematica Pura ed Applicata, 2021 We study the validity of the comparison and maximum principles and their relation with principal eigenvalues, for a class of degenerate nonlinear operators that are extremal among operators with one-dimensional fractional diffusion.
I. Birindelli, G. Galise, Delia Schiera
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