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一类椭圆边值问题的广义解

The Generalized Solution of an Elliptic Boundary Value Problem
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摘要 本文研究椭圆边值问题广义解的存在性.其中1≤N,1<p<+∞,λ>0,h∈Lv Rn,'.p1=p/p=1利用变分方法及临ε中至少存在的一个广义解. We discuss the existence of generalized solution of the elliptic boundary problem Where 1≤N,1〈p〈＋∞,λ〉0,h∈LP＇（RN）,p′=p/P-1and obtaining this problem has at least one generalized solution in the space of εp by using variational method and critical point theory.
作者 陈林
机构地区 伊犁师范学院数学与统计学院
出处 《伊犁师范学院学报（自然科学版）》 2013年第2期18-21,共4页 Journal of Yili Normal University：Natural Science Edition
基金 伊犁师范学院一般科研项目(2012YB013)
关键词 弱解 广义解 欧拉泛函 有下界 弱下半连续 weak solution generalized solution Euler functional bounded from below weakly rowersemi-continuous
分类号 O175.8 [理学—基础数学]
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伊犁师范学院学报（自然科学版）
2013年 第2期

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