DYNAMICS OF THE p-LAPLACIAN EQUATIONS WITH NONLINEAR DYNAMIC BOUNDARY CONDITIONS

作者：Cheng Xiyou; Wei Lei^*

来源：Electronic Journal of Differential Equations, 2015, 37.

• p-Laplacian equation
• boundary condition
• asymptotic regularity
• attractor

In this article, we study the long-time behavior of the p-Laplacian equation with nonlinear dynamic boundary conditions for both autonomous and non-autonomous cases. For the autonomous case, some asymptotic regularity of solutions is proved. For the non-autonomous case, we obtain the existence and structure of a compact uniform attractor in L-r1 (Omega) x L-r(Gamma) (r = min(r(1), r(2))).

• 出版日期2015-2-10
• 单位兰州大学