Year: 2002
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JPDE-5462
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 4 : pp. 65–80
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Quasilinear Dirichlet problem