@article{ASNSP_1988_4_15_2_309_0, author = {Chanillo, S. and Wheeden, Richard L.}, title = {Existence and estimates of {Green's} function for degenerate elliptic equations}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {309--340}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 15}, number = {2}, year = {1988}, zbl = {0688.35002}, mrnumber = {1007400}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1988_4_15_2_309_0/} }
TY - JOUR AU - Chanillo, S. AU - Wheeden, Richard L. TI - Existence and estimates of Green's function for degenerate elliptic equations JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1988 DA - 1988/// SP - 309 EP - 340 VL - Ser. 4, 15 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1988_4_15_2_309_0/ UR - https://zbmath.org/?q=an%3A0688.35002 UR - https://www.ams.org/mathscinet-getitem?mr=1007400 LA - en ID - ASNSP_1988_4_15_2_309_0 ER -
Chanillo, S.; Wheeden, R. L. Existence and estimates of Green's function for degenerate elliptic equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 15 (1988) no. 2, pp. 309-340. http://www.numdam.org/item/ASNSP_1988_4_15_2_309_0/
[1] Weighted Poincaré and Sobolev inequalities and estimates for the Peano maximal functions, Amer. J. Math. 107 (1985), pp. 1191-1226. | MR 805809 | Zbl 0575.42026
- ,[2] Harnack's inequality and mean-value inequalities for solutions of degenerate elliptic equations, Comm. P.D.E. 11 (10) (1986), pp. 1111-1134. | MR 847996 | Zbl 0634.35035
- ,[3] The local regularity of solutions of degenerate elliptic equations, Comm. P.D.E. 7 (1982), pp. 77-116. | MR 643158 | Zbl 0498.35042
- - ,[4] The Wiener test for degenerate elliptic equations, Ann. Inst. Fourier (Grenoble) 32 (1982), pp. 151-182. | Numdam | MR 688024 | Zbl 0488.35034
- - ,[5] A regularity condition at the boundary for solutions of quasilinear elliptic equations, Arch. Rat. Mech. Analy. 67 (1977-78), pp. 25-39. | MR 492836 | Zbl 0389.35023
- ,[6] Elliptic Partial Differential Equations of Second Order, 2nd edition, Springer-Verlag, 1983. | MR 737190 | Zbl 0562.35001
- ,[7] The Green function for uniformly elliptic equations, Manuscripta Math. 37 (1982), pp. 303-342. | MR 657523 | Zbl 0485.35031
- ,[8] An Introduction to Variational Inequalities and Their Applications, Academic Press, 1980, New York. | MR 567696 | Zbl 0457.35001
- ,[9] Regular points for elliptic equations with discontinuous coefficients, Ann. Scuola Norm. Sup. Pisa Cl. Sci. III 17 (1963), pp. 43-77. | Numdam | MR 161019 | Zbl 0116.30302
- - ,[10] Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), pp. 207-226. | MR 293384 | Zbl 0236.26016
,[11] Linear elliptic operators with measurable coefficients, Ann. Scuola Norm. Sup. Pisa Cl. Sci. III, 27 (1973), pp. 275-308. | Numdam | MR 369884 | Zbl 0279.35025
,