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 ...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.展开更多
基金partially supported by Natural Science Foundation of Hubei Province of China(2021CFB473)。
文摘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.
