scholarly journals Remarks on the Harnak Inequality for Local-Minima of Scalar Integral Functionals with General Growth Conditions

2014 ◽  
Vol 02 (05) ◽  
pp. 194-203 ◽  
Author(s):  
Tiziano Granucci
Keyword(s):  
Growth Conditions ◽  
Integral Functionals ◽  
Local Minima ◽  
General Growth ◽  
Scalar Integral

scholarly journals Growth conditions and regularity, an optimal local boundedness result

2020 ◽  
pp. 2050029
Author(s):  
Jonas Hirsch ◽  
Mathias Schäffner
Keyword(s):  
Growth Conditions ◽  
Integral Functionals ◽  
Local Minimizers ◽  
Local Boundedness ◽  
Scalar Integral ◽  
Boundedness Result

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].

scholarly journals Regularity under sharp anisotropic general growth conditions

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