scholarly journals Remarks on the Continuity of the Local Minimizer of Scalar Integral Functionals With Nonstandard General Growth Conditions

2014 ◽  
Vol 6 (4) ◽  
Author(s):  
Tiziano Granucci
Author(s):  
Jonas Hirsch ◽  
Mathias Schäffner

We prove local boundedness of local minimizers of scalar integral functionals [Formula: see text], [Formula: see text] where the integrand satisfies [Formula: see text]-growth of the form [Formula: see text] under the optimal relation [Formula: see text].


2009 ◽  
Vol 11 (1) ◽  
pp. 67-86
Author(s):  
Giovanni Cupini ◽  
◽  
Paolo Marcellini ◽  
Elvira Mascolo

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