Nonlinear equations with growth coefficients in BMO

Houston Journal of Mathematics

Volumn 28, Issue 4, 2002, Pages 917-929

  Carozza, Menita ^a   Moscariello, Gioconda ^b   Passarelli Di Napoli, Antonia ^b  

^a UNIVERSITY OF SANNIO   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

BMO space; Dirichlet problem; Existence and uniqueness; Hodge decomposition

Indexed keywords

EID: 25144436823     PISSN: 03621588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. L. Boccardo, Quelques problèmes de Dirichlei avec données dans de grands espaces de Sobolev, CRAS 325 (1997), pp. 1269-1272
2. S.M. Buckley, Estimates for operator norms on weighted spaces and reverse Jensen inequalities Trans. AMS 340, 1 (1993), pp. 253-272
3. H. Brézis, L. Nirenberg, Degree theory and BMO - PartI: Compact manifolds with boundary, Selecta Math. 1 (2) (1995), pp. 197-263
4. C. Bennet, R. Sharpley, Interpolation of operators, (Academic Press, 1988)
5. 2,p estimates for non divergence elliptic equations with discontinuous coefficients, Ric. di Matematica XL (I) (1991), pp. 149-168
6. M. Carozza, G. Moscariello, A. Passarelli di Napoli, Linear elliptic equations with BMO coefficients, to appear on Rend. Lincei
7. 1, Studia Math. 127 (3) (1998), pp. 223-231
8. E.B. Fabes, C. Kenig, R.P. Serapioni, The local regularity of solutions of degenerate elliptic equations, Comm. Part. Diff. Equat. 7 (1) (1982), pp. 77-116
9. R.L. Johnson, C.J. Neugebauer, Properties of BMO functions whose reciprocals are also BMO, Manuscript (1991)
10. T. Iwaniec, L. Migliaccio, L. Nania, C. Sbordone, Integrability and removability results for quasiregular mappings in high dimension, Math. Scandinavica 75 (1994), pp. 263-279
11. T. Iwaniec, C. Sbordone, Weak minima of variational integrals, J. Reine Angew. Math. 454 (1994), pp. 143-161
12. T. Iwaniec, C. Sbordone, Div-curl fields of finite distorsion, CRAS 327 (1998), pp. 729-734
13. T. Iwaniec, C. Sbordone, Quasiharmonic fields,to appear on Ann. Inst. H. Poincaré
14. D. Gilbarg, N.S. Trudinger, Elliptic partial differential equations of second order (Springer, 1983)
15. J. Nečas, Introduction to the theory of nonlinear elliptic equations, (John Wiley & Sons Ltd., 1986)
16. B. Stroffolini, Elliptic systems of PDE with BMO coefficients, to appear on Pot. Anal.