Weakly coupled systems of the infinity Laplace equations
Transactions of the American Mathematical Society, 2016 We derive the weakly coupled systems of the infinity Laplace equations via a tug-of-war game introduced by Peres, Schramm, Sheffield, and Wilson (2009). We establish existence, uniqueness results of the solutions, and introduce a new notion of “generalized cones” for systems. By using “generalized cones” we analyze blow-up limits of solutions.
Mitake, H., Tran, H. V.
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Intent Arabic text categorisation based on different machine learning and term frequency
IET Networks, EarlyView., 2022 Abstract The complexity of Internet network configurations has made managing networks a complicated undertaking. Intent‐Based Networking (IBN) is a potential solution to this issue. In contrast to conventional networks, where a concrete description of the settings typically conveys a network administrator's goal kept on each device, an administrator's ...
Mohammad Fadhil Mahdi +1 more
wiley +1 more source
An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions [PDF]
, 2009 We present a new, easy, and elementary proof of Jensen's Theorem on the uniqueness of infinity harmonic functions. The idea is to pass to a finite difference equation by taking maximums and minimums over small balls.Comment: 4 pages; comments added ...
A.M. Oberman +9 more
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Tug-of-War and Infinity Laplace Equation with Vanishing Neumann Boundary Condition [PDF]
Communications in Partial Differential Equations, 2012 We study a version of the stochastic "tug-of-war" game, played on graphs and smooth domains, with the empty set of terminal states. We prove that, when the running payoff function is shifted by an appropriate constant, the values of the game after n steps converge in the continuous case and the case of finite graphs with loops.
Antunović, Tonći +3 more
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Positive Liouville theorems and asymptotic behavior for p-Laplacian type elliptic equations with a Fuchsian potential [PDF]
, 2010 We study positive Liouville theorems and the asymptotic behavior of positive solutions of p-Laplacian type elliptic equations of the form Q'(u):= - pLaplace(u) + V |u|^{p-2} u = 0 in X, where X is a domain in R^d, d > 1, and ...
Fraas, Martin, Pinchover, Yehuda
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Asymptotic boundary estimates to infinity Laplace equations with Γ-varying nonlinearity
Journal of Mathematical Analysis and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Wei +3 more
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On membrane interactions and a three-dimensional analog of Riemann surfaces [PDF]
, 2015 Membranes in M-theory are expected to interact via splitting and joining processes. We study these effects in the pp-wave matrix model, in which they are associated with transitions between states in sectors built on vacua with different numbers of ...
Kovacs, Stefano +2 more
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Asymptotics at infinity of solutions for -Laplace equations in exterior domains
Nonlinear Analysis: Theory, Methods & Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Avila, Andrés I., Brock, Friedemann
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An infinity Laplace equation with gradient term and mixed boundary conditions [PDF]
Proceedings of the American Mathematical Society, 2011 We obtain existence, uniqueness, and stability results for the modified 1-homogeneous infinity Laplace equation \[ - _\infty u - |Du| = f, \] subject to Dirichlet or mixed Dirichlet-Neumann boundary conditions. Our arguments rely on comparing solutions of the PDE to subsolutions and supersolutions of a certain finite difference approximation.
Armstrong, Scott N. +2 more
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Granular media equation with double-well external landscape: limiting steady state
Comptes Rendus. MathématiqueIn this paper, we give a simple condition on the initial state of the granular media equation which ensures that the limit as the time goes to infinity is the unique steady state with positive center of mass.
Tugaut, Julian
doaj +1 more source