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Mountain pass type solutions for a generalized Frenkel-Kontorova model
Wen-Long Li
We study a generalized Frenkel-Kontorova model and obtain periodic and heteroclinic mountain pass solutions. Heteroclinic mountain pass solution in the second laminations is new to…
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…