Results 21 to 30 of about 7,566,926 (308)
Strong Comparison Principle for the Fractional p-Laplacian and Applications to Starshaped Rings [PDF]
, 2017 In the following, we show the strong comparison principle for the fractional p-Laplacian, i.e. we analyze { ( - Δ ) p s v + q ( x ) | v | p - 2 v ≥ 0 in D , ( - Δ ) p s w + q ( x ) | w | p - 2 w ≤ 0 in D , v ≥ w in ℝ N , \quad\left ...
Sven Jarohs
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A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities
Advances in Nonlinear Analysis, 2015 We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
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IEEE Access, 2021 This work focuses on exponential synchronization for a class of partially coupled heterogeneous networks with time-delays and heterogeneous impulses. The synchronization targets are selected as the common equilibrium solution and the average trajectory ...
Guizhen Feng +3 more
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Strong comparison principle for 𝑝-harmonic functions in Carnot-Caratheodory spaces [PDF]
Proceedings of the American Mathematical Society, 2017 We extend Bony’s propagation of support argument to C 1 C^1 solutions of the nonhomogeneous subelliptic p p -Laplacian associated to a system of smooth vector fields satisfying Hörmander’s finite rank condition.
L. Capogna, Xiaodan Zhou
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Some remarks on the comparison principle in Kirchhoff equations [PDF]
Revista matemática iberoamericana, 2015 In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results.
G. Figueiredo, A. Suárez
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Large Deviations for Finite State Markov Jump Processes with Mean-Field Interaction Via the Comparison Principle for an Associated Hamilton–Jacobi Equation [PDF]
Journal of statistical physics, 2015 We prove the large deviation principle (LDP) for the trajectory of a broad class of finite state mean-field interacting Markov jump processes via a general analytic approach based on viscosity solutions.
R. Kraaij
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Advances in Differential Equations, 2018 This paper considers projective synchronization of fractional-order delayed neural networks. Sufficient conditions for projective synchronization of master–slave systems are achieved by constructing a Lyapunov function, employing a fractional inequality ...
Weiwei Zhang +4 more
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On necessary conditions for the comparison principle and the sub- and supersolution method for the stationary Kirchhoff equation [PDF]
, 2017 In this paper, we propose a counterexample to the validity of the comparison principle and of the sub- and supersolution method for nonlocal problems like the stationary Kirchhoff equation. This counterexample shows that in general smooth bounded domains
Leonelo Iturriaga, E. Massa
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Asymptotic behavior for cross coupled parabolic equations
Journal of Hebei University of Science and Technology, 2017 In order to better describe the heat transfer process of three kinds of mixed substances, namely the reaction of the reactants in the three chemical reactions, a class of three variable cross coupling with non parabolic equations of the whole existence ...
Yingzhen XUE
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Mathematical Problems in Engineering, 2021 A point cloud as a collection of points is poised to bring about a revolution in acquiring and generating three-dimensional (3D) surface information of an object in 3D reconstruction, industrial inspection, and robotic manipulation.
Leihui Li, Riwei Wang, Xuping Zhang
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