On a Damped Vibration Problem Involving p-Laplacian Operator:Fast Homoclinic Orbits

• 作者: Peng CHEN Xian-hua TANG Yuan-yuan ZHANG
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2022,（2）
• 页码范围: 368-387
• 页数: 20页
• 语种: 英文

摘要

In this paper,we deal with the nonlinear second-order differential equation with damped vibration term involving p-Laplacian operator.Of particular interest is the resolution of an open problem.An interesting outcome from our result is that we can obtain the fast homoclinic solution with general superlinear growth assumption in suitable Sobolev space.To our knowledge,our theorems appear to be the first such result about damped vibration problem with p-Laplacian operator.