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R^N上一类p(x)-Laplacian方程的无穷多解问题 被引量：2

Multiple Solutions for a Class of p(x)-Laplacian Problems in R^N
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摘要 该文主要讨论了如下p(x)-Laplacian算子方程的解.其中1<P-≤p(x)≤P+<N.得到了上述方程在变指数Sobolev空间W^(1,p(x))(R^N)中的一列能量值趋向正无穷的解. In this paper,the authors study the solutions to the following p（x）-Laplacian problem -div（｜△↓u｜^p（x）-2△↓u）＋｜u｜^p（x）-2u=f1（x,u）=f2（x,u）,x∈R^N. where 1p-≤p（x）≤p_＋N.Based on the theory of the variable exponent Sobolev spaceW^（1,p（x））（R^N）,it is showed that the above problem possesses a sequence of solutions associated with a sequence of positive energies going toward infinity.
作者 付永强 张夏
机构地区 哈尔滨工业大学数学系
出处 《数学物理学报（A辑）》 CSCD 北大核心 2010年第2期465-471,共7页 Acta Mathematica Scientia
基金 哈尔滨工业大学自然科学基金(HITC200702) 黑龙江省自然科学基金(A2007-04)资助
关键词 p(x)-Laplacian方程 变指数Sobolev空间 临界点 p（x）-Laplacian equation Variable exponent Sobolev space Critical point
分类号 O175.2 [理学—基础数学]
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参考文献12

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同被引文献30

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二级引证文献3

数学物理学报（A辑）
2010年 第2期

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