Regularity for general functionals with double phase

We prove sharp regularity results for a general class of functionals of the type w ↦ ∫ F ( x , w , D w ) d x , featuring non-standard growth conditions and non-uniform ellipticity properties. The model case is given by the double phase integral w ↦ ∫ b ( x , w ) ( | D w | p + a ( x ) | D w | q ) d x...

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Bibliographic Details

Published in:	Calculus of variations and partial differential equations Vol. 57; no. 2; pp. 1 - 48
Main Authors:	Baroni, Paolo, Colombo, Maria, Mingione, Giuseppe
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2018 Springer Nature B.V
Subjects:	Analysis Calculus of Variations and Optimal Control; Optimization Control Ellipticity Functionals Mathematical and Computational Physics Mathematics Mathematics and Statistics Regularity Systems Theory Theoretical 49N60 35D10
ISSN:	0944-2669, 1432-0835
Online Access:	Get full text
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