Higher integrability for parabolic systems of p-laplacian type

Duke Mathematical Journal

Volumn 102, Issue 2, 2000, Pages 253-271

  Kinnunen, Juha ^a   Lewis, John L ^b  

^a UNIVERSITY OF HELSINKI   (Finland)

^b UNIVERSITY OF KENTUCKY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034165209     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-00-10223-2     Document Type: Article

References (8)

1. H. J. Choe, On the regularity of parabolic equations and obstacle problems with quadratic growth nonlinearities, J. Differential Equations 102 (1993), 101-118.
2. E. DiBenedetto, Degenerate Parabolic Equations, Universitext, Springer-Verlag, New York, 1993.
3. p -integrability of the partial derivatives of a quasiconformal mapping, Acta Math. 130 (1973), 265-277.
4. M. Giaquinta, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Ann. of Math. Stud. 105, Princeton University Press, Princeton, 1983.
5. M. Giaquinta and G. Modica, Regularity results for some classes ofhigher order nonlinear elliptic systems, J. Reine Angew. Math. 311/312 (1979), 145-169.
6. M. Giaquinta and M. Struwe, On the partial regularity of weak solutions of nonlinear parabolic systems, Math. Z. 179 (1982), 437-451.
7. N. G. Meyers and A. Elcrat, Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions, Duke Math. J. 42 (1975), 121-136.
8. E. W. Stredulinsky, Higher integrability from reverse Holder inequalities, Indiana Univ. Math. J. 29 (1980), 407-413.