Results 21 to 30 of about 641,065 (281)
Complete Riemannian manifolds with Killing — Ricci and Codazzi — Ricci tensors
Дифференциальная геометрия многообразий фигур, 2022 The purpose of this paper is to prove of Liouville type theorems, i. e., theorems on the non-existence of Killing — Ricci and Codazzi — Ricci tensors on complete non-compact Riemannian manifolds.
S.E. Stepanov, I. I. Tsyganok, J. Mikeš
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Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds [PDF]
Communications on Pure and Applied Mathematics, 2018 We derive some consequences of the Liouville theorem for plurisubharmonic functions of L.‐F. Tam and the author. The first result provides a nonlinear version of the complex splitting theorem (which splits off a factor of ℂ isometrically from the simply ...
Lei Ni
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A C^1 Arnol'd-Liouville theorem
Astérisque, 2020 In this paper, we prove a version of Arnol'd-Liouville theorem for C 1 commuting Hamiltonians. We show that the Lipschitz regularity of the foliation by invariant Lagrangian tori is crucial to determine the Dynamics on each Lagrangian torus and that the C 1 regularity of the foliation by invariant Lagrangian tori is crucial to prove the continuity of ...
Marie-Claude Arnaud, Jinxin Xue
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Liouville theorems on the upper half space [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2019 In this paper we shall establish some Liouville theorems for solutions bounded from below to certain linear elliptic equations on the upper half space.
Lei Wang, Meijun Zhu
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A new Definition of Fractional Derivative and Fractional Integral [PDF]
Kirkuk Journal of Science, 2018 In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
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Liouville theorems for ancient caloric functions via optimal growth conditions [PDF]
Proceedings of the American Mathematical Society, 2019 We provide some Liouville theorems for ancient nonnegative solutions of the heat equation on a complete non-compact Riemannian manifold with Ricci curvature bounded from below.
S. Mosconi
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Finite Morse index solutions of the Hénon Lane–Emden equation
Journal of Inequalities and Applications, 2019 In this paper, we are concerned with Liouville-type theorems of the Hénon Lane–Emden triharmonic equations in whole space. We prove Liouville-type theorems for solutions belonging to one of the following classes: stable solutions and finite Morse index ...
Abdellaziz Harrabi, Cherif Zaidi
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Gradient estimates for a nonlinear parabolic equation and Liouville theorems [PDF]
Manuscripta mathematica, 2018 We establish local elliptic and parabolic gradient estimates for positive smooth solutions to a nonlinear parabolic equation on a smooth metric measure space.
Jia-Yong Wu
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Some Liouville theorems for the fractional Laplacian [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2014 19 ...
Wenxiong Chen, L. D’Ambrosio, Yan Li
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Cotangent models for integrable systems [PDF]
, 2016 We associate cotangent models to a neighbourhood of a Liouville torus in symplectic and Poisson manifolds focusing on a special class called $b$-Poisson/$b$-symplectic manifolds.
Kiesenhofer, Anna, Miranda, Eva
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