Journal of Guangxi Normal University(Natural Science Edition) ›› 2012, Vol. 30 ›› Issue (1): 29-34.
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WANG Sheng-jun1, DOU Jing-bo2
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| [1] GAROFALO N,SHEN Zhong-wei.Absence of positive eigenvalues for aclass of subelliptic operatrs[J].Math Ann,1996,304(1):701-715. [2] 王胜军,窦井波.一类退化椭圆算子的强Hardy型不等式及其应用[J].广西师范大学学报:自然科学版,2010,28(1):18-22. [3] 韩亚洲,金永阳,张书陶.各向异性Heisenberg群上一类Hardy-Sobolev型不等式[J].高校应用数学学报:A辑,2010,25(4):440-446. [4] FRANCHI B,LU Guo-zhen,WHEEDEN R L.Representation formulas and weighted Poincaré inequalities for Ho¨rm-ander vector fields[J].Ann Inst Fourier Grenoble,1995,45(2):577-604. [5] LU Guo-zhen.Weighted Poincaré and Soblev inequalities for vector fields satisfying Ho¨rmander's condition and applications[J].Revista Mat Iberoamericana,1992,8(3):367-439. [6] LU Guo-zhen.The sharp Poincaré inequalities for free vector fields:an end point result[J].Revista Mat Iberoamericana,1994,10(2):453-466. [7] CAPOGNA L,DANIELLI D,GAROFALO N.An embedding theorem and the Harnack inequality for nonlinear subelliptic equations[J].Commun PartialDiff Eqns,1993,18(9/10):1765-1794. [8] ZHANG Hui-qing,NIU Peng-cheng.Hardy-type inequalities and Pohozaev-type identities for a class of p-degenerate subelliptic operators andapplications[J].Nonlinear Anal,2003,54(1):165-186. [9] KOMBE I.On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients[J].Applicable Analysic,2006,85(5):467-478. [10] FOLLAND G,STEIN E.Hardy spaces on homogeneous groups[M].Princeton,NJ:Princeton University Press,1982:257-326. [11] COHN W S,LU Guo-zhen.Best constants for Moser-Trudinger inequalities on the Heisenberg group[J].Indiana University Mathematics Journal,2001,50(4):1567-1591. [12] BARBATIS G,FILIPPAS S,TERTIKAS A.A unified approach to improvedLp Hardy inequalities with best constants[J].Trans Amer Math Soc,2004,356(6):2169-2196. |
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