Results 11 to 20 of about 359,042 (221)
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 ...
Arnaud, Marie-Claude, Xue, Jinxin
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On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators
Cumhuriyet Science Journal, 2019 In this paper, theinverse spectral problems of Sturm-Liouville operators are considered. Some newuniqueness theorems and analogies of the Mochizuki-Trooshin Theorem are proved.2010 Mathematics Subject Classification. Primary34A55, 34B24; Secondary 34L05.
İbrahim Adalar
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Liouville theorem and gradient estimates for nonlinear elliptic equations on Riemannian manifolds [PDF]
Electronic Journal of Differential Equations, 2017 In this article we study a nonlinear elliptic equation by using the maximum principle and cutoff functions, We establish related gradient estimates, the Liouville theorem, and the Harnack inequality.
Wen Wang, Hui Zhou, Xinquan Zhang
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Sharp Liouville Theorems [PDF]
Advanced Nonlinear Studies, 2020 Abstract Consider the equation div (
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Cut loci and conjugate loci on Liouville surfaces [PDF]
, 2011 In the earlier paper (Itoh and Kiyohara, Manuscr Math 114:247–264, 2004), we showed that the cut locus of a general point on two-dimensional ellipsoid is a segment of a curvature line and proved "Jacobi’s last geometric statement" on the singularities of
Jin-ichi Itoh +3 more
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A proof of Liouville’s theorem [PDF]
Proceedings of the American Mathematical Society, 1961 1. S. Bochner, Group invariance of Cauchy's formula in several variables, Ann. of Math. vol. 45 (1944) pp. 686-707. 2. E. Heinz, Ein v. Neumannscher Satz iuber beschriinkte Operatoren im Hilbertschen Raum, Nachr. Akad. Wiss. Gottingen. Math.-Phys. Kl. Ila. (1952) pp. 5-6. 3. J.
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A Liouville theorem of VT-harmonic map heat flow [PDF]
, 2023 We proved an Liouville theorem for Backward V T-harmonic map heat flow from evolution manifolds into generalized regular ball. Among others, we also proved an Liouville theorem for V T-harmonic map heat flow from complete manifolds into generalized ...
Cao, Xiangzhi
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A Liouville theorem for a class of reaction–diffusion systems with fractional diffusion
, 2022 We prove a Liouville theorem on the positive bounded entire solution of a class of reaction–diffusion systems with fractional diffusion.
Guo, Jong-Shenq;Shimojo, Masahiko +2 more
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On a Theorem of Liouville's [PDF]
Proceedings of the London Mathematical Society, 1893 n ...
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Koenigs Theorem and Superintegrable Liouville Metrics
, 2023 In the first part, we give a new proof of Koenigs theorem and, in the second part, we determine the local form of all the superintegrable Riemannian Liouville metrics as well as their global geometries.The author is greatly indebted to the anonymous ...
Valent, Galliano
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