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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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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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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Equivalents of maximum principles for several spaces
Topological Algebra and its Applications, 2022 According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
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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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A note on boundary point principles for partial differential inequalities of elliptic type
Boundary Value Problems, 2022 In this note we consider boundary point principles for partial differential inequalities of elliptic type. First, we highlight the difference between the conditions required to establish classical strong maximum principles and classical boundary point ...
John Christopher Meyer
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Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids [PDF]
, 2010 In this paper, we consider anisotropic diffusion with decay, and the diffusivity coefficient to be a second-order symmetric and positive definite tensor.
Arnold +65 more
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Maximum principles for parabolic systems coupled in both first-order and zero-order terms
International Journal of Mathematics and Mathematical Sciences, 1994 Some generalized maximum principles are established for linear second-order parabolic systems in which both first-order and zero-order terms are coupled.
Chiping Zhou
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Finite volume schemes for diffusion equations: introduction to and review of modern methods [PDF]
, 2014 We present Finite Volume methods for diffusion equations on generic meshes, that received important coverage in the last decade or so. After introducing the main ideas and construction principles of the methods, we review some literature results ...
Droniou, Jerome
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New maximum principles for linear elliptic equations
, 2006 We prove extensions of the estimates of Aleksandrov and Bakel$'$man for linear elliptic operators in Euclidean space $\Bbb{R}^{\it n}$ to inhomogeneous terms in $L^q$ spaces for $q < n$.
Kuo, Hung-Ju, Trudinger, Neil S.
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