Boundedness of solutions to variational problems under general growth conditions

Communications in Partial Differential Equations

Volumn 22, Issue 9-10, 1997, Pages 1629-1646

  Cianchi, Andrea ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007137472     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309708821313     Document Type: Article

References (9)

1. J.E. Brothers & W.P. Ziemer, Minimal rearrangements of Sobolev functions, J. reine angew. Math. 384 (1988), 153-179.
2. ∞ in some function spaces and applications, preprint 44 (1995), Dip. Mat. e Appl. "R. Caccioppoli", Univ. di Napoli, Napoli, Italy.
3. A. Cianchi, Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems, Ann. Sc. Norm. Sup. Pisa. (4) 23 (1996), 575-608.
4. A. Cianchi, A sharp embedding theorem for Orlicz-Sobolev spaces, Indiana Univ. Math. J. 45 (1996), 39-65.
5. T.K. Donaldson & N.S. Trudinger, Orlicz-Sobolev spaces and imbedding theorems, J. Funct. Anal. 8 (1971), 52-75.
6. O.A. Ladyzenskaya & N.N. Ural'ceva, Linear and quasilinear elliptic equations, Academic Press, New York, 1968.
7. G. Stampacchia, On some regular multiple integral problems in the calculus of variations, Comm. Pure Appl. Math. 16 (1963), 383-421.
8. G. Talenti, An embedding theorem, Essays of Math. Analysis in honour of E. De Giorgi, Birkhäuser Verlag, Boston, 1989.
9. G. Talenti, Boundedness of minimizers, Hokkaido Math. J. 19 (1990), 259-279.