%0 Journal Article
%T p-Laplacian 混合边值问题径向凸解的存在性<br>Existence of Radial Convex Solutions for Mixed Boundary Value Problem of p-Laplacian
%A 赵亚丽
%A 陈天兰
%J Pure Mathematics
%P 1121-1129
%@ 2160-7605
%D 2021
%I Hans Publishing
%R 10.12677/PM.2021.116126
%X <div style=\"text-align:justify;\">
	运用 Krasnoselskii 不动点定理, 本文考虑 p-Laplacian 混合边值问题 <img src=\"Edit_f50c15f3-100c-47b1-b9db-5ab524cf23ab.png\" alt=\"\" />负的径向凸解的存在性, 其中B<sub>1</sub> = {x ∈ ？<sup>N</sup>: |x| &lt; 1}, N ≥ 1, φ<sub>p</sub>(s) = |s|<sup>p？2</sup>s, p &gt; 1,f : [0,1] × [0,∞) → [0,∞) 连续.<br />
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 <img src=\"Edit_9c66cc96-4ae7-4265-bcb7-b913c8068a08.png\" alt=\"\" />B<sub>1</sub> = {x ∈ ？<sup>N</sup>: |x| &lt; 1}, N ≥ 1, φ<sub>p</sub>(s) = |s|<sup>p？2</sup>s, p &gt; 1,f : [0,1] × [0,∞) → [0,∞) is continuous.
</div>
%K p-Laplacian 算子，凹解，Krasnoselskii不动点定理，径向凸解<brp-Laplacian Operator
%K Concave Solutions
%K Krasnoselskii Fixed Point Theorem
%K Radial Convex Solutions
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=43184