Calcolo delle variazioni. - Functionalwith p(x) growth and regularity

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

Volumn 11, Issue 3, 2000, Pages 169-174

  Acerbi, Nota Di Emilio ^a   Mingione, Giuseppe ^a   Ambrosetti, Dal Socio A ^a  

^a UNIVERSITY OF PARMA   (Italy)

Author keywords

Integral functional; Minimizers; Nonstandard growth; Partial regularity

Indexed keywords

EID: 0034436869     PISSN: 11206330     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. E. ACERBI - G. MiNGiONE, Regularity results for a class of functional! with nonstandard growth. Arch. Rational Mech. Anal., to appear.
2. E. ACERBI - G. MINGIONE, Regularity for a class of'quasiconvexfunctional with nonstandard growth. To appear.
3. Yu. A. ALKHUTOV, The Harnack inequality and the Holder property of solutions of nonlinear elliptic equations with a nonstandard growth condition. Differential Equations, 33, 1997, 1653-1663.
4. A. COSCIA - G. MINGIONE, Holder continuity of the gradient ofp(xj -harmonic mappings. C. R. Acad. Sci. Paris, 328, 1999,363-368.
5. FAN XIANGLING - ZHAO DUN, A class of De Giorgi type and Holder continuity. Nonlinear Anal. T.M.A., 36 A, 1999,295-318.
6. P. MARCELLINI, Regularity for some scalar variationalproblems under general growth conditions.J. Optim. Theory Appl., 90, 1996, 161-181.
7. V.V. ZHIKOV, On some variational problems. Russian J. Math. Physics, 5, 1997, 105-116.