Global Estimates in Orlicz Spaces for ρ-Laplacian Systems in IRN
Global Estimates in Orlicz Spaces for ρ-Laplacian Systems in IRN
摘要
In this paper we obtain global estimates in Orlicz spaces for weak solutions of ρ-Laplacian systems in IRN for N 〉 2. Our results improve the known results for such problems.
参考文献19
-
1Byun S. and Wang L., Quasilinear elliptic equations with BMO coefficients in Lipschitz do- mains. Trans. Amer. Math. Soc., 359 (12) (2007), 5899-5913.
-
2Byun S., Wang L., and Zhou SI, Nonlinear elliptic equations with small BMO coefficients in Reifenberg domains. J. Funct. Anal., 250 (1) (2007), 167-196.
-
3KinnunenJ. and Zhou S., A local estimate for nonlinear equations with discontinuous coef- ficients. Comm. Partial Differential Equations, 24 (1999), 2043-2068.
-
4Kinnunen J. and Zhou S.:-A boundary estimate for nonlinear equations with discontinuous coefficients Diff., Int. Equ., 14 (4) (2001), 475-492.
-
5Orlicz W., Ueber eine gewisse Klasse von Riumen vom Typus B. Bull. Int. Acad. Pol. Set. A, 8 (1932), 207-220.
-
6Adams R. A. and Fournier J. J. F., Sobolev Spaces (2nd edition), Academic Press, New York, 2003.
-
7Benkirane A. and Elmahi A., An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces. Nonlinear Anal., 36 (1999), 11-24.
-
8Byun S., Yao F., and Zhou S., Gradient Estimates in Orlicz space for nonlinear elliptic Equa- tions. J. Funct. Anal., 255 (8) (2008), 1851-1873.
-
9Cianchi A., Hardy inequalities in Orlicz spaces. Trans. Amer. Math. Soc., 351 (1999), 2459- 2478.
-
10Kokilashvili V. and Krbec M., Weighted Inequalities in Lorentz and Orlicz Spaces, World Scientific, 1991.
-
1赵如汉.DECOMPOSITION FOR BERS-ORLICZ SPACES[J].Acta Mathematica Scientia,1995,15(4):422-430.
-
2Convexity coefficient of Orlicz spaces endowed with Orlicz norm[J].Chinese Science Bulletin,1998,43(4):350-350. 被引量:1
-
3Liu Zongguang (Huaihua Teacher’s College, China)..WEAK TYPE INEQUALITIES FOR FRACTIONAL MAXIMAL OPERATOR ON WEIGHTED ORLICZ SPACES[J].Analysis in Theory and Applications,1999,15(4):64-70.
-
4赵如汉.ON INCLUSION RELATIONS BETWEEN BERS-ORLICZ SPACES[J].Acta Mathematica Scientia,1994,14(3):354-360.
-
5LIU PeiDe,WANG MaoFa.Weak Orlicz spaces:Some basic properties and their applications to harmonic analysis[J].Science China Mathematics,2013,56(4):789-802. 被引量:8
-
6王廷辅,滕岩梅.Complex locally uniform rotundity of Musielak-Orlicz spaces[J].Science China Mathematics,2000,43(2):113-121.
-
7JIAO Yong,PENG LiHua,LIU PeiDe.Interpolation for weak Orlicz spaces with M_Δ condition[J].Science China Mathematics,2008,51(11):2072-2080. 被引量:6
-
8陈述涛,段延正.WM PROPERTY OF ORLICZ SPACES WITH ORLICZ NORM[J].Acta Mathematica Scientia,1994,14(1):1-8.
-
9王廷辅,计东海,李岩红.Prediction operator in Orlicz spaces[J].Chinese Science Bulletin,1995,40(19):1592-1595.
-
10刘立芳,曹广福,王晓峰.COMPOSITION OPERATORS ON HARDY-ORLICZ SPACES[J].Acta Mathematica Scientia,2005,25(1):105-111.