Gradient estimates for solutions to quasilinear elliptic equations with critical sobolev growth and hardy potential

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• 作者：Changlin Xiang ^{changlin.c.xiang@jyu.fi}
• 关键词：quasilinear elliptic equations ; Hardy's inequality ; gradient estimate
• 刊名：Acta Mathematica Scientia
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：37
• 期：1
• 页码：58
• 全文大小：213 K
• 卷排序：37

文摘

This note is a continuation of the work [17]. We study the following quasilinear elliptic equations -Δpu-μ|x|p|u|p-2u=Q(x)|u|NpN-p-2u,  x∈ℝN, where 1 < p < N,0 ≤ μ < ((N-p)/p)p and Q ɛ L∞ ℝ^{N. Optimal asymptotic estimates on the gradient of solutions are obtained both at the origin and at the infinity.}