Semi-stable radial solutions of -Laplace equations in
详细信息 查看全文
- 作者：Miguel Angel Navarro <sup>mnavarro_2@ugr.essup> ; Salvador Villegas<sup> ; sup><sup>svillega@ugr.essup>
- 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.