scholarly journals On the regularity of minimizers for scalar integral functionals with (p,q)-growth

2020 ◽  
Vol 13 (7) ◽  
pp. 2241-2257
Author(s):  
Peter Bella ◽  
Mathias Schäffner
Keyword(s):  
Integral Functionals ◽  
Regularity Of Minimizers ◽  
Scalar Integral

Genericity and existence of a minimum for scalar integral functionals

1995 ◽  
Vol 86 (2) ◽  
pp. 421-431 ◽  
Author(s):  
M. D. P. Monteiro Marques ◽  
A. Ornelas
Keyword(s):  
Integral Functionals ◽  
Scalar Integral

scholarly journals On the Hölder continuity for a class of vectorial problems

2019 ◽  
Vol 9 (1) ◽  
pp. 1008-1025
Author(s):  
Giovanni Cupini ◽  
Matteo Focardi ◽  
Francesco Leonetti ◽  
Elvira Mascolo
Keyword(s):  
Final Section ◽  
Hölder Continuity ◽  
Integral Functionals ◽  
Holder Continuity ◽  
Local Minimizers ◽  
Regularity Of Minimizers ◽  
Rank One ◽  
Suitable Structure ◽  
Local Hölder Continuity ◽  
Special Classes

Abstract In this paper we prove local Hölder continuity of vectorial local minimizers of special classes of integral functionals with rank-one and polyconvex integrands. The energy densities satisfy suitable structure assumptions and may have neither radial nor quasi-diagonal structure. The regularity of minimizers is obtained by proving that each component stays in a suitable De Giorgi class and, from this, we conclude about the Hölder continuity. In the final section, we provide some non-trivial applications of our results.

Sign in / Sign up

Export Citation Format

Share Document