Semi-stable radial solutions of -Laplace equations in

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• 作者：Miguel Angel Navarro ^{mnavarro_2@ugr.es} ; Salvador Villegas ; ^{svillega@ugr.es}
• 关键词：Semi-stable solutions ; pp-Laplacian ; Radial
• 刊名：Nonlinear Analysis: Theory, Methods & Applications
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：149
• 期：Complete
• 页码：111-116
• 全文大小：582 K
• 卷排序：149

文摘

This paper is devoted to the study of semi-stable radial solution u∈C1(RN)u∈C1(RN) of −Δpu=f(u)−Δpu=f(u) in RNRN, where N≥2N≥2, p>1p>1, ΔpΔp is the pp-Laplace operator and f∈C1(R)f∈C1(R) is a general function. We establish sharp pointwise estimates for such solutions for p≥2p≥2 or 1<p<21<p<2 and N≤2p(2−p+1)(p−1)(2−p), which do not depend on ff.