Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems

Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni

Volumn 14, Issue 2, 2003, Pages 91-108

  Arkhipova, Arina A ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

Boundary value problem; Elliptic system; Reverse H lder inequalities

Indexed keywords

EID: 84887241983     PISSN: 11206330     EISSN: 17200768     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. p-integrability of the partial derivatives of a quasi conformal mapping. Acta Math., 130, 1973, 265-277.
2. M. GIAQUINTA - G. MODICA, Regularity results for some classes of higher order non-linear elliptic systems. J. für Reine u. Angew. Math., 311/312, 1979, 145-169.
3. E.W. STREDULINSKY, Higher integrability from reverce Hölder inequalities. Indiana Univ. Math. J., 29, 3, 1980, 408-417.
4. p-estimates for solution of nonlinear elliptic and parabolic boundary-value problems. Advances in Math. Sci. Translations Ser., 2, 164, 1995, 15-42.
5. A.A. ARKHIPOVA - O.A. LADYZHENSKAYA, On a modification of Gehring lemma. Zapiski Nauchn, Semin. POMI, St-Petersburg, 259, 1999, 7-18.
6. A.A. ARKHIPOVA, On the regularity of the solution of the Neumann problem for quasilinear parabolic systems. Russian Acad. Sci. Izv. Math., 45, 1995, 231-253.
7. M. GIAQUINTA, Multiple integrals in the Calculus of Variations and Nonlinear Elliptic Systems. Annals of Math., Studies 105, Princeton Univ. Press, Princeton 1983.
8. M. GIAQUINTA - E. GIUSTI, Non linear elliptic systems with Quadratic growth. Manuscripta Math., 24, 1978, 323-349.
9. A. KUFNER - O. JOHN - S. FUČIK, Functional Spases. Academia, Prague 1977.
10. J. FREHSE, On two-dimensional quasi-linear elliptic systems. Manuscripta Math., 28, 1979, 21-50.
11. C. HAMBURGER, A new partial regularity proof for solutions of nonlinear elliptic systems. Manuscripta Math., 95, n. 1, 1998, 11-31. (Pubitemid 128339518)
12. G.M. TROIANIELLO, Elliptic differential equations and obstacle problems. Plenum, New York-London 1987.