一类二阶非线性p-Laplace系统快速同宿轨的存在性

Existence of Fast Homoclinic Solutions for a Class of Nonlinear Second-order p-Laplace Systems

考虑了一类二阶非线性p-Laplace系统的快速同宿轨问题.利用临界点理论中的山路引理和对称山路引理,获得了系统快速同宿轨存在性与多重性的结果.

By using Mountain Pass Theorem and Symmetric Mountain Pass Theorem in critical point theory,we considered the existence and multiplicity of fast homoclinic solutions for a class of nonlinear second-order p-Laplacian systems and obtained some new results.