Existence of homoclinic orbits for a class of asymptotically p-linear aperiodic p-Laplacian systems
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摘要
By applying a variant version of Mountain Pass Theorem in critical point theory, the existence of homoclinic solutions is obtained for the following asymptotically p-linear aperiodic p-Laplacian systemddt(|u˙(t)|p-2u˙(t))+∇[-K(t,u(t))+W(t,u(t))]=0,where p∈(1,+∞),t∈R,u∈RN,K,W∈C1(R×RN,R) are not periodic in t and W is asymptotically p-linear at infinity.
论文关键词:Homoclinic solutions,Critical point,Asymptotically p-linear,Mountain Pass Theorem,Aperiodic p-Laplacian systems
论文评审过程:Available online 25 January 2012.
论文官网地址:https://doi.org/10.1016/j.amc.2011.12.084