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Maximum Principles and ABP Estimates to Nonlocal Lane–Emden Systems and Some Consequences
Advanced Nonlinear Studies, 2021 This paper deals with maximum principles depending on the domain and ABP estimates associated to the following Lane–Emden system involving fractional Laplace operators:
Leite Edir Junior Ferreira
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On enforcing maximum principles and achieving element-wise species balance for advection-diffusion-reaction equations under the finite element method [PDF]
Journal of Computational Physics, 2015 M. Mudunuru, K. Nakshatrala
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper we are going to investigate a free boundary value problem for the anisotropic N-Laplace operator on a ring domain Ω:=Ω0\Ω¯1⊂N\Omega : = {\Omega _0}\backslash {\bar \Omega _1} \subset {\mathbb{R}^N}, N ≥ 2.
Nicolescu A. E., Vlase S.
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Journal of the Australian Mathematical Society, 1979 AbstractLet K be a nonempty compact set in a Hausdorff locally convex space, and F a nonempty family of upper semicontinuous convex-like functions from K into [–∞, ∞). K is partially ordered by F in a natural manner. It is shown among other things that each isotone, upper semicontinuous and convex-like function g: K → [ – ∞, ∞) attains its K-maximum at
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The uniqueness of the solution for the definite problem of a parabolic variational inequality
Journal of Inequalities and Applications, 2016 The uniqueness of the solution for the definite problem of a parabolic variational inequality is proved. The problem comes from the study of the optimal exercise strategies for the perpetual executive stock options with unrestricted exercise in financial
Liping Song, Wanghui Yu
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Maximum Principles for Matrix-Valued Analytic Functions [PDF]
The American mathematical monthly, 2019 To what extent is the maximum modulus principle for scalar-valued analytic functions valid for matrix-valued analytic functions? In response, we discuss some maximum norm principles for such functions that do not appear to be widely known, deduce maximum
Alberto A. Condori
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Properties of switching jump diffusions: Maximum principles and Harnack inequalities [PDF]
Bernoulli, 2018 This work examines a class of switching jump diffusion processes. The main effort is devoted to proving the maximum principle and obtaining the Harnack inequalities.
Xiaoshan Chen +3 more
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Maximum principle for hypersurfaces [PDF]
Manuscripta Mathematica, 1989 Let \(M\) be a Riemannian or Lorentzian manifold. Firstly, the author gives a short proof of the following interior maximum principle for hypersurfaces; Let \(W_+\) and \(W_-\) be disjoint open domains in \(M\) with spacelike connected \(C^2\)-boundaries having a point in common.
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Strong maximum principles for fractional Laplacians [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2016 We give a unified approach to strong maximum principles for a large class of nonlocal operators of order s ∈ (0, 1) that includes the Dirichlet, the Neumann Restricted (or Regional) and the Neumann Semirestricted Laplacians.
R. Musina, A. Nazarov
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About nondecreasing solutions for first order neutral functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Conditions that solutions of the first order neutral functional differential equation \[ (Mx)(t)\equiv x^{\prime }(t)-(Sx^{\prime })(t)-(Ax)(t)+(Bx)(t)=f(t), t\in \lbrack 0,\omega ], \] are nondecreasing are obtained.
Alexander Domoshnitsky +2 more
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