Div-curl fields of finite distortion;Champs div-rot de distortion finie

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 327, Issue 8, 1998, Pages 729-734

  Iwaniec, Tadeusz ^a   Sbordone, Carlo ^b  

^a SYRACUSE UNIVERSITY   (United States)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032188059     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(98)80160-2     Document Type: Article

References (17)

1. [1] Astala K., Area distortion of quasiconformal mappings, Acta Math. 173 (1994) 37-60.
2. [2] Astala K., Iwaniec T., Saksman E., Beltrami operators, (1998) (to appear) .
3. n, J. Funct. Anal. 145 (1997) 224-265.
4. [4] Bers L., Nirenberg L., On linear and nonlinear elliptic boundary value problems in the plane, Conv. Int. le Eq. Lineari a derivate parziali, Trieste 1954, Cremonese (Ed.), Roma, 1995, pp. 141-167.
5. [5] Boccardo L., Gallouet T., Nonlinear elliptic and parabolic equations involving measure data, J. Funct. Anal. 87 (1989) 149-169.
6. [6] Bojarski B., Generalized solution of a system of first order differential equations of elliptic type with discontinuous coefficients, Math. Sb. 43 (1957) 451-503.
7. [7] Carozza M., Moscariello G., Passarelli A., Linear elliptic equations with BMO coefficients, (1998).
8. [8] Eremenko A., Hamilton D., On the area distortion by quasiconformal mappings, Proc. Amer. Math. Soc. 123 (1995) 2793-2797.
9. [9] Finn R., Serrin J., On the Hölder continuity of quasiconformal and elliptic mappings, Trans. Amer. Math. Soc. 89 (1958) 1-15.
10. [10] Iwaniec T., Koskela P., Martin G., Mappings of BMO-distortion and Beltrami type operators, (1998) (to appear).
11. [11] Iwaniec T., Martin G., Riesz Transforms and related singular integrals, J. Reine Angew Math. 473 (1996) 25-57.
12. [12] Iwaniec T., Sbordone C., Quasiharmonic fields, (1998) (to appear).
13. [13] Leonetti F., Nesi V., Quasiconformal solutions to certain first order systems and the proof of a conjecture of G.W. Milton, J. Math. Pures Appl. 76 (1997) 1-16.
14. p-estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Scu. Norm. Sup. Pisa 17 (1963) 189-206.
15. [15] Migliaccio L., Moscariello G., Mappings with unbounded dilatation, (1997) (to appear).
16. 1 ou mésure, preprint, 1994.
17. [17] Serrin J., Pathological solutions of elliptic differential equations, Ann. Scu. Norm. Sup. Pisa 18 (1964) 385-387.