Interior behaviour of minimizers for certain functionals with nonstandard growth

Nonlinear Analysis

Volumn 19, Issue 10, 1992, Pages 933-945

  Choe, Hi Jun ^a  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

H lder continuity; integration by parts; Moser iteration; Nonstandard growth conditions; weak Harnack inequality

Indexed keywords

EID: 0000687206     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(92)90105-N     Document Type: Article

References (18)

1. ∞-regularity for variational problems with sharp nonstandard growth conditions
2. Regularity for the minimizers of certain functionals with nonstandard growth conditions
3. Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions
4. Local boundedness of minimizers in a limit case
5. Regularity of minimizers of integrals of the calculus of variations with nonstandard growth conditions
6. Regularity of derivatives of solutions to certain degenerate elliptic equations
7. 1,α local regularity of weak solutions of degenerate elliptic equations
8. 1,α regularity for solutions of certain degenerate elliptic P.D.E.
9. Regularity for minima of functionals with p-growth
10. Remarks on the regularity of the minimizers of certain degenerate functionals
11. Everywhere-regularity for some quasilinear systems with a lack of ellipticity
12. Regularity for a class of nonlinear elliptic systems
13. Growth conditions and regularity, a counterexample