论文标题
广义Frenkel-Kontorova型号的山通行证类型解决方案
Mountain pass type solutions for a generalized Frenkel-Kontorova model
论文作者
论文摘要
我们研究了广义的Frenkel-Kontorova模型，并获得周期性和异斜山通道解决方案。第二层层压板中的杂斜山通溶液是广义的Frenkel-Kontorova模型。我们的证明遵循了艾伦·卡纳方程的bolotin和rabinowitz的证明，这与文献中的弗伦克尔·肯托罗瓦模型的临界点不同。证明取决于功能和工作空间的合适选择。我们还研究了这些山间通过解决方案的多样性。
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 the generalized Frenkel-Kontorova model. Our proof follows that of Bolotin and Rabinowitz for an Allen-Cahn equation, which is different with heat flow method for finding critical point of Frenkel-Kontorova model in the literature. The proofs depend on suitable choices of functionals and working spaces. We also study the multiplicity of these mountain pass solutions.
