Free Access
Issue
ESAIM: COCV
Volume 17, Number 1, January-March 2011
Page(s) 178 - 189
DOI https://doi.org/10.1051/cocv/2009046
Published online 04 December 2009
  1. E. Acerbi and N. Fusco, Regularity for minimizers of non-quadratic functionals: the case 1<p<2. J. Math. Anal. Appl. 140 (1989) 115–135. [CrossRef] [MathSciNet] [Google Scholar]
  2. E. Acerbi and G. Mingione, Regularity results for a class of functionals with non-standard growth. Arch. Ration. Mech. Anal. 156 (2001) 121–140. [Google Scholar]
  3. E. Acerbi and G. Mingione, Regularity results for stationary electro-rheological fluids. Arch. Ration. Mech. Anal. 164 (2002) 213–259. [CrossRef] [MathSciNet] [Google Scholar]
  4. M. Chipot and L.C. Evans, Linearization at infinity and Lipschitz estimate for certain problems in the Calculus of Variations. Proc. Roy. Soc. Edinburgh Sect. A 102 (1986) 291–303. [MathSciNet] [Google Scholar]
  5. A. Cianchi, Some results in the theory of Orlicz spaces and applications to variational problems, in Nonlinear Analysis, Function Spaces and Applications 6, Acad. Sci. Czech Repub., Prague, Czech Republic (1999) 50–92. [Google Scholar]
  6. A. Cianchi and N. Fusco, Gradient regularity for minimizers under general growth conditions. J. Reine Angew. Math. 507 (1999) 15–36. [CrossRef] [MathSciNet] [Google Scholar]
  7. M. Cupini, M. Guidorzi and E. Mascolo, Regularity of minimizers of vectorial integrals with p-q growth. Nonlinear Anal. 54 (2003) 591–616. [CrossRef] [MathSciNet] [Google Scholar]
  8. L. Diening and F. Ettwein, Fractional estimates for non-differentiable elliptic systems with general growth. Forum Math. 20 (2008) 523–556. [CrossRef] [MathSciNet] [Google Scholar]
  9. L. Diening, B. Stroffolini and A. Verde, Regularity of functionals with ϕ-growth. Manuscripta Math. 129 (2009) 449–481. [CrossRef] [MathSciNet] [Google Scholar]
  10. G. Dolzmann and J. Kristensen, Higher integrability of minimizing Young measures. Calc. Var. Partial Differ. Equ. 22 (2005) 283–301. [CrossRef] [Google Scholar]
  11. M. Foss, Global regularity for almost minimizers of nonconvex variational problems. Ann. Mat. Pura Appl. 187 (2008) 263–321. [CrossRef] [MathSciNet] [Google Scholar]
  12. M. Foss, A. Passarelli di Napoli and A. Verde, Global Morrey regularity results for asymptotically convex variational problems. Forum Math. 20 (2008) 921–953. [CrossRef] [MathSciNet] [Google Scholar]
  13. M. Fuchs, Regularity for a class of variational integrals motivated by nonlinear elasticity. Asymptotic Anal. 9 (1994) 23–38. [MathSciNet] [Google Scholar]
  14. M. Fuchs, Lipschitz regularity for certain problems from relaxation. Asymptotic Anal. 12 (1996) 145–151. [MathSciNet] [Google Scholar]
  15. M. Giaquinta and G. Modica, Remarks on the regularity of the minimizers of certain degenerate functionals. Manuscripta Math. 57 (1986) 55–99. [CrossRef] [MathSciNet] [Google Scholar]
  16. J. Kristensen and A. Taheri, Partial regularity of strong local minimizers in the multi-dimensional calculus of variations. Arch. Ration. Mech. Anal. 170 (2003) 63–89. [CrossRef] [MathSciNet] [Google Scholar]
  17. C. Leone, A. Passarelli di Napoli and A. Verde, Lipschitz regularity for some asymptotically subquadratic problems. Nonlinear Anal. 67 (2007) 1532–1539. [CrossRef] [MathSciNet] [Google Scholar]
  18. P. Marcellini, Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions. Arch. Ration. Mech. Anal. 105 (1989) 267–284. [Google Scholar]
  19. P. Marcellini, Regularity and existence of solutions of elliptic equations with p,q-growth conditions. J. Diff. Eq. 90 (1991) 1–30. [CrossRef] [MathSciNet] [Google Scholar]
  20. P. Marcellini, Everywhere regularity for a class of elliptic systems without growth conditions. Ann. Scuola Norm. Pisa 23 (1996) 1–25. [Google Scholar]
  21. P. Marcellini and G. Papi, Nonlinear elliptic systems with general growth. J. Diff. Eq. 221 (2006) 412–443. [CrossRef] [Google Scholar]
  22. G.R. Mingione, Regularity of minima: An invitation to the dark side of the calculus of variations. Appl. Math. 51 (2006) 355–426. [CrossRef] [MathSciNet] [Google Scholar]
  23. A. Passarelli di Napoli and A. Verde, A regularity result for asymptotically convex problems with lower order terms. J. Convex Anal. 15 (2008) 131–148. [MathSciNet] [Google Scholar]
  24. J.P. Raymond, Lipschitz regularity of solutions of some asymptotically convex problems Proc. Roy. Soc. Edinburgh Sect. A 117 (1991) 59–73. [Google Scholar]
  25. M. Ružička and L. Diening, Non-Newtonian fluids and function spaces, in Nonlinear Analysis, Function Spaces and Applications 8, Acad. Sci. Czech Repub., Prague, Czech Republic (2007) 95–143. [Google Scholar]
  26. K. Uhlenbeck, Regularity for a class of nonlinear elliptic systems. Acta Math. 138 (1977) 219–240. [CrossRef] [MathSciNet] [Google Scholar]

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