@Article{JPDE-15-65, author = {Zhengce Zhang , Kaitai Li and Xiulan Guo }, title = {Spike-layered Solutions of Singularly Perturbed Quasilinear Dirichlet Problems on Ball}, journal = {Journal of Partial Differential Equations}, year = {2002}, volume = {15}, number = {4}, pages = {65--80}, abstract = { We consider the singularly perturbed quasilinear Dirichlet problems of the form  {-∈Δ_pu = f(u) in Ω  u ≥ 0 in , u = 0 on ∂ Ω  where Δ_pu = div(|Du|^{p-2}Du), p > 1, f is subcritical. ∈ > 0 is a small parameter and  is a bounded smooth domain in R^N (N ≥ 2). When Ω = B_1 = {x; |x| < 1} is the unit ball, we show that the least energy solution is radially symmetric, the solution is also unique and has a unique peak point at origin as ∈ → 0.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5462.html} }