集中紧致原理在p-Laplacian发展方程中的应用
AN APPLICATION OF THE CONCENTRATION-COMPACTNESS PRINCIPLE TO THE-LAPLACIAN EVOLUTION EQUATION
摘要
应用集中紧致原理研究了具有强非线性源的p-Lap lac ian发展方程的整体解的渐近性。
This paper studies the asymptotic behavior of global solutions of p - Laplacian evolution equation with strong nonlinear source by concentration -compactness prinple.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2005年第6期574-576,共3页
Journal of Nanchang University(Natural Science)
参考文献11
-
1Lions P L.The Concentration-Comactness Principle in the Calculus of Variation[J].The Limit case1 2 Rev Mat Iberoamerioana,1985,1(1);45～121;1985,1(2):145～201.
-
2Tsutsumi M.Existence and Nonexistence of Global Solutions for Nonlinear Parabolic Equations[J].Publ Res Inst Math Sci,1972,8(2):211～229.
-
3Ishii H.Aasymptotic Stability and Blowing Upof Solutions of Some Nonlinear Equations[J].J Diff Equs,1977,26(2):291～319.
-
4Nakao M.Global Solutions for Some Nonlinear Parabolic Equations with Nonmonotonic Pertur-Bations[J].Nonlinear Analysis,1986,10(3):299～314.
-
5Otanni M.On Existence of Strong Solutions for[J].Fac Sci Univ Tokyo Sect IA,1977,24(3):575～605.
-
6Zhong Tan,Zheng-anyao.Global and Blowup Solutions of Wuasilinear Parabolic Equation with Critical Sobolev Exponent and Lower Energy Initial Value[J].J of Lnequal Appl,2001,6(1):1～19.
-
7Cazenave T,Lions P L.Solutions Globales D'equations de la Chalenr Semilineaires[J].Com-mun in Partial Differential Equations,1981,9(10):955～978.
-
8Kavian O.Remarks on the Large Time Behavior of a Nonlinear Diffusion Equation[J].Ann Inst Henri Poincare,1987,4(5):423～452.
-
9Yuan-Weiqi.The Global Existence and Nonuniqueness of a Nonlinear Degenerate Equation[J].Nonlinear Analysis,1998,31(1/2):117～136.
-
10Boccardo L,Murat E.Almost Everywhere Convergence of the Gradients to Elliptic and Parabolic Equations[J].Nonlinear Analysis,1992,19(6):581～597.
-
1谭忠.半线性抛物方程的集中现象[J].中国科学（A辑）,2000,30(11):1002-1009. 被引量：3
-
2张立群.一类半空间上非线性椭圆方程正解的存在性[J].数学物理学报（A辑）,1991,11(4):473-478.
-
3王先婷,金珍.具有奇性的P-Laplacian发展方程[J].东莞理工学院学报,2008,15(1):11-15.
-
4李海峰,江成顺.一类N维多孔介质方程的Cauchy问题,Harnack不等式和…[J].南京大学学报（数学半年刊）,1996,13(2):231-241. 被引量：2
-
5邓利华,尚海锋.具强非线性源的多孔介质方程的Cauchy问题[J].山东大学学报（理学版）,2012,47(8):50-54. 被引量：1
-
6李俊峰.一类具强非线性源的半线性热方程解的性质[J].数学研究,2006,39(4):370-374. 被引量：2
-
7胡文燕.一类具强非线性源的热方程解的存在性[J].晋中学院学报,2016,33(3):17-19.
-
8李海峰.一般非线性多孔介质方程的Callchy问题[J].纺织高校基础科学学报,1996,9(4):326-335.
-
9蒲军平.椭圆孔口的薄板在任意点处的应力统一算式[J].广西工学院学报,1995,6(2):8-12. 被引量：1
-
10梁之磊.具源函数的p-Laplacian发展方程边界连续性[J].厦门大学学报（自然科学版）,2009,48(6):791-794.
