caa a22 4500 605515425 CHVBK 20210128100709.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00205-014-0785-2 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0785-2 Regularity for Double Phase Variational Problems [Elektronische Daten] [Maria Colombo, Giuseppe Mingione] 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 $${a(\cdot)}$$ a ( · ) . The model case is given by the functional $$ w \mapsto \int (|Dw|^p + a(x)|Dw|^q) \, {\rm d}x,$$ w ↦ ∫ ( | D w | p + a ( x ) | D w | q ) d x , where q >p and $${a(\cdot) \geqq 0}$$ a ( · ) ≧ 0 . Springer-Verlag Berlin Heidelberg, 2014 Colombo Maria Scuola Normale Superiore di Pisa, p.za dei Cavalieri, 7, 56126, Pisa, Italy aut Mingione Giuseppe Dipartimento di Matematica e Informatica, Università di Parma, Parco Area delle Science 53/a, 43124, Parma, Italy aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 215/2(2015-02-01), 443-496 0003-9527 215:2<443 2015 215 205 https://doi.org/10.1007/s00205-014-0785-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0785-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Colombo Maria Scuola Normale Superiore di Pisa, p.za dei Cavalieri, 7, 56126, Pisa, Italy aut NATIONALLICENCE 700 1- Mingione Giuseppe Dipartimento di Matematica e Informatica, Università di Parma, Parco Area delle Science 53/a, 43124, Parma, Italy aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 215/2(2015-02-01), 443-496 0003-9527 215:2<443 2015 215 205