Geodesic
Dynamics of the \(p\)-Laplacian equations with nonlinear dynamic boundary conditions
Electronic journal of differential equations, Tome 2015 (2015)
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 $L^{r_1}(\Omega)\times L^{r}(\Gamma) (r=\min(r_1,r_2))$.
Classification : 37L05, 35B40, 35B41
Keywords: p-Laplacian equation, boundary condition, asymptotic regularity, attractor 
@article{EJDE_2015__2015__a6,
     author = {Cheng,  Xiyou and Wei,  Lei},
     title = {Dynamics of the {\(p\)-Laplacian} equations with nonlinear dynamic boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1417.37260},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a6/}
}
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Cheng,  Xiyou; Wei,  Lei. Dynamics of the \(p\)-Laplacian equations with nonlinear dynamic boundary conditions. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a6/