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Titlebook: Nonlinear Analysis, Geometry and Applications; Proceedings of the F Diaraf Seck,Kinvi Kangni,Marie Salomon Sambou Conference proceedings 20

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The Role of the Mean Curvature in a Mixed Hardy-Sobolev Trace Inequality,xistence of positive solutions to the following Hardy-Sobolev trace problem with mixed boundaries conditions .where . is the critical Hardy-Sobolev trace exponent and . is the outer unit normal of . Ω. In particular, we prove existence of minimizers when . ≥ 3 and the mean curvature is sufficiently below the potential . at 0.
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Trends in Mathematicshttp://image.papertrans.cn/n/image/667338.jpg
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Null Controllability of a Nonlinear Population Dynamics with Age Structuring and Spatial Diffusion,level of births. We show, that for a control localized in the space variable as well as with respect to the age, there is a time . dependent on the constraints on the age from which the system is null controllable. We first establish an observability inequality useful for the proof of the null contr
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Null Controllability of a System of Degenerate Nonlinear Coupled Equations Derived from Population n type inequality for the adjoint system of an intermediate model. From this inequality, we derive our observability inequality. Next, by a fixed point argument, we prove the null controllability result with an internal control acting on a small subset of the domain.
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Optimal Mass Transport for Activities Location Problem,he literature as the “Mass Optimal Transportation”. We present two main contributions for this land use problem. First, we propose a new continuous formulation of the activities location problems. Second, in order to solve the continuous problems, we discretize and compute numerically the optimal tr
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Cut-off Phenomenon for Converging Processes in the Sense of ,-Divergence Measures, processes is observed, around a certain instant where the distance to equilibrium decreases abruptly either from infinity or from a strictly positive constant to 0. Several previous studies have characterized the phenomenon with particular probability metrics: total variation, Hellinger, chi-square
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Stochastic Optimization in Population Dynamics: The Case of Multi-site Fisheries, equations derived from the proposed model. By using tools of dynamic programming we also derive some Hamilton Jacobi Bellman equations that we will study in the theoretical and numerical point of view.
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A Hurwitz Like Characterization of GUAS Planar Switched Systems,.(.) : [0, +.)→{0, 1} is a measurable function. We give a Hurwitz like characterization of globally uniformly asymptotically stable planar switched systems. Another contribution of this paper is a new version of the main result in Shorten and Narendra (Necessary and sufficient conditions for the exi
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