REGULARITY OF MINIMIZERS OF SOME DEGENERATE INTEGRAL FUNCTIONALS

2009 ◽  
Author(s):  
V. CATALDO ◽  
S. D'ASERO ◽  
F. NICOLOSI
Keyword(s):  
Integral Functionals ◽  
Regularity Of Minimizers

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.

Regularity of minimizers of some integral functionals with degenerate integrands

2008 ◽  
Vol 68 (11) ◽  
pp. 3283-3293 ◽  
Author(s):  
S. D’Asero ◽  
V. Cataldo ◽  
F. Nicolosi
Keyword(s):  
Integral Functionals ◽  
Regularity Of Minimizers

scholarly journals Perpetual integral functionals of multidimensional stochastic processes

Stochastics ◽  
2021 ◽  
pp. 1-12
Author(s):  
Yuri Kondratiev ◽  
Yuliya Mishura ◽  
José L. da Silva
Keyword(s):  
Stochastic Processes ◽  
Integral Functionals
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