一类(2,p)-Laplace方程弱解的L^∞估计  

L^∞-Estimate of Weak Solutions for a Class of(2,p)-Laplace Equations

作　　者：崔笑笑 梁占平[1] CUI Xiaoxiao;LIANG Zhanping(School of Mathematics,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院,太原030006

出　　处：《河南科学》2020年第10期1558-1562,共5页Henan Science

基　　金：国家自然科学基金(11671239)。

摘　　要：研究(2,p)-Laplace方程-△u-△pu=f(x,u),x∈Ω,u=0,x∈■Ω弱解的正则性,其中Ω■R^N是有界光滑区域,2<p<N,f:Ω×R→R满足Carathéodory条件且次临界增长.利用迭代方法,获得了比已有文献更加精确的弱解的L^∞估计.The regularity of weak solutions is researched for a class of(2,p)-Laplace equations-△u-△pu=f(x,u),x∈Ω,u=0,x∈■Ω,whereΩ■R^N is a bounded smooth domain,2<p<N and f:Ω×R→R satisfies Carathéodory conditions with subcritical growth.Using the iterative approach,a more accurate L^∞-estimate of weak solutions is obtained than that in the existing literatures.

关 键 词：(2 p)-Laplace方程 弱解 次临界增长 L^∞估计 

分 类 号：O175.25[理学—数学]