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Multitransition solutions for a generalized Frenkel-Kontorova model
Wen-Long Li, Xiaojun Cui
We study a generalized Frenkel-Kontorova model. Using minimal and Birkhoff solutions as building blocks, we construct a lot of homoclinic solutions and heteroclinic solutions for t…
Heteroclinic solutions for a generalized Frenkel-Kontorova model by minimization methods of Rabinowitz and Stredulinsky
Wen-Long Li, Xiaojun Cui
We study heteroclinic solutions of a generalized Frenkel-Kontorova model. Using the methods of Rabinowitz and Stredulinsky, we prove that if the rotation vector of the configuratio…
Busemann functions on the Wasserstein space
Guomin Zhu, Wen-Long Li, Xiaojun Cui
We study rays and co-rays in the Wasserstein space () whose ambient space is a complete, separable, non-compact, locally compact length spac…
On class A Lorentzian 2-tori with poles II: Foliations by timelike lines
Liang Jin, Lu Peng, Xiaojun Cui
We show that if is a class A Lorentzian 2-torus with timelike poles, then there exists a Lipschitz foliation by complete future-directed timelike geodesics wit…
On class A Lorentzian 2-tori with poles I: Closed geodesics pass through poles
Lu Peng, Liang Jin, Xiaojun Cui
In this paper, by studying certain isometries on globally hyperbolic planes, we prove that if is a timelike pole on a class A Lorentzian 2-torus, then there exists a closed tim…