We prove sharp regularity theorems for minimisers of a class of variational integrals whose integrand switches between two different types of degenerate elliptic phases, according to the zero set of a modulating coefficient a(⋅). The model case is given by the functional w↦∫(|Dw|p+a(x)|Dw|q)dx,where q > p and a(⋅)≧0.
Regularity for Double Phase Variational Problems / Colombo, Maria; Mingione, Giuseppe. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 215:2(2015), pp. 443-496. [10.1007/s00205-014-0785-2]
Regularity for Double Phase Variational Problems
MINGIONE, Giuseppe
2015-01-01
Abstract
We prove sharp regularity theorems for minimisers of a class of variational integrals whose integrand switches between two different types of degenerate elliptic phases, according to the zero set of a modulating coefficient a(⋅). The model case is given by the functional w↦∫(|Dw|p+a(x)|Dw|q)dx,where q > p and a(⋅)≧0.File in questo prodotto:
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