具有无流边界条件的Laplacian算子的特征值
被引量:2
摘要
证明了具有无流边界条件的p(x)-Laplacian算子有无穷多个特征值,其中第一特征值为0,但与常指数情形不同,在一般情况下它不是孤立的,即所有正特征值的下确界为0.
出处
《天水师范学院学报》
2010年第2期38-40,共3页
Journal of Tianshui Normal University
参考文献4
-
1X.L.FAN,D.ZHAO.On the spaceL^P(x)(Ω)andW^m,P(x)(Ω)[J].MAA,263(5):424-446.
-
2A.LE,Eigenvalue problem for the p-laplaeian[J].Nonlinear Anal,2006,64(4):1057-1099.
-
3X.L.FAN,Eigenvalue of the p(x)-laplacian Neumann problem[J].Nonlinear Analysis.,2006,66(7):1235-1242.
-
4A.SZULKIN.Ljustemik-Sehnirelmann theory on C-manifolds[J].Ann Inst.H.Poineare AnaLNon lineaire,1988,5(1):119-139.
同被引文献11
-
1Fan X L.Solutions for p(x)-Laplacian Dirichlet problem with singular coefficients[J].JMAA.2005,312 (3):464-477.
-
2Mihailescu M.Existence and multiplicity of solutions for a Neumann problem involving p(x)-Laplacian Laplacian operator[J].NA.2007,67(5):1419-1425.
-
3Fan X L,Zhao D.On the spaceLp(x)(Ω) and Wm,p(x)(Ω)[J].JMAA,2001,63(2):424-446.
-
4Fan X L,Shen J S,Zhao D.Sobolev embedding theorems for Spaces Wk,p(x)(Ω)[J].JMAA,2001,62(2):749-760.
-
5张恭庆.临界点原理及其应用[M].上海:上海科学技术出版社,1986.
-
6M. Ruzicka, Eleectoroheological fluids, modeling and mathe- matical theory [ M 1. Springer Verlag, Berlin, 2000.
-
7X. L. Fan. Solutions for p ( x ) - Laplacian Dirichlet problem with singular coefficients [ J ]. JMAA. 2005,312 ( 3 ) : 464 - 477.
-
8M. Mihailescu. Existence and multiplicity of solutions for a Neumann problem involving p(x) -Laplacian Laplacian op- erator[ J]. NA. 2007,67(5) :1419 - 1425.
-
9X. L. Fan,D. zhao. On the space Lp(x) and Wm'P(X) (g2) [J].JMAA,2001,63(2) :424 -446.
-
10X. L. Fan, J. S. Shen, D. zhao. Sobolev embedding theorems for Spaces WK'p (Ω) [J]. JMAA,2001,62(2) :749 -760.
-
1王勇.带有p-Laplacian算子的Dirichlet边值问题弱解的存在性[J].应用数学,2013,26(3):561-566.
-
2李志艳,李翠哲.一类p-Laplacian算子边值问题三个正解的存在性[J].应用数学,2004,17(S1):101-105.
-
3封汉颍,白冬龙,冯杏芳.一类具变号非线性项和p-Laplacian算子的m点·边值问题的多个正解[J].军械工程学院学报,2012,24(1):65-69.
-
4杨贵诚,杜锋.Heisernberg群上低阶特征值的估计[J].湖北大学学报(自然科学版),2014,36(3):195-198. 被引量:1
-
5禹长龙,王菊芳,李国刚.无穷区间上含有p-Laplacian算子的n阶积分边值问题正解的存在性[J].河北科技大学学报,2015,36(4):382-389. 被引量:2
-
6张德燕,韩丽.伪黎曼空间L_p^(n+p)中紧致类空子流形上的积分不等式[J].河西学院学报,2012,28(5):27-31.