p-Laplacian 混合边值问题径向凸解的存在性
Existence of Radial Convex Solutions for Mixed Boundary Value Problem of p-Laplacian
DOI: 10.12677/PM.2021.116126, PDF, 下载: 280  浏览: 413  国家自然科学基金支持
作者: 赵亚丽, 陈天兰*：西北师范大学数学与统计学院，甘肃 兰州
关键词: p-Laplacian 算子；凹解；Krasnoselskii不动点定理；径向凸解； Concave Solutions； Krasnoselskii Fixed Point Theorem； Radial Convex Solutions
摘要: 运用 Krasnoselskii 不动点定理, 本文考虑 p-Laplacian 混合边值问题 负的径向凸解的存在性, 其中B1 = {x ∈ ℝN: |x| < 1}, N ≥ 1, φp(s) = |s|p−2s, p > 1,f : [0,1] × [0,∞) → [0,∞) 连续.
Abstract: In this paper, by using Krasnoselskii fixed point throrem, we consider the existence of negative radial convex solutions for mixed boundary value problem of p-Laplacian where B1 = {x ∈ ℝN: |x| < 1}, N ≥ 1, φp(s) = |s|p−2s, p > 1,f : [0,1] × [0,∞) → [0,∞) is continuous.
文章引用：赵亚丽, 陈天兰. p-Laplacian 混合边值问题径向凸解的存在性[J]. 理论数学, 2021, 11(6): 1121-1129. https://doi.org/10.12677/PM.2021.116126

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