Asymptotic Behaviors of Solutions to quasilinear elliptic Equations with critical Sobolev growth and Hardy potential

Published 13 Feb 2015 in math.AP | (1502.03966v1)

Abstract: Optimal estimates on the asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations [-\Delta_{p}u-\frac{\mu}{|x|^{{p}}|u|^{{p-2}u=Q(x)|u|^{{\frac{Np}{N-p}-2}u,\quad\,x\in}}} \mathbb{R}^{N},] where $1<p<N, 0\leq\mu<\left({(N-p)}/{p}\right)^{p}$ and $Q\in L^{{\infty}(\mathbb{R}^{N})$.}