Regularity for Double Phase Variational Problems

Verfasser / Beitragende:
[Maria Colombo, Giuseppe Mingione]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 215/2(2015-02-01), 443-496
Format:
Artikel (online)
ID: 605515425
LEADER caa a22 4500
001 605515425
003 CHVBK
005 20210128100709.0
007 cr unu---uuuuu
008 210128e20150201xx s 000 0 eng
024 7 0 |a 10.1007/s00205-014-0785-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00205-014-0785-2 
245 0 0 |a Regularity for Double Phase Variational Problems  |h [Elektronische Daten]  |c [Maria Colombo, Giuseppe Mingione] 
520 3 |a 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 . 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
700 1 |a Colombo  |D Maria  |u Scuola Normale Superiore di Pisa, p.za dei Cavalieri, 7, 56126, Pisa, Italy  |4 aut 
700 1 |a Mingione  |D Giuseppe  |u Dipartimento di Matematica e Informatica, Università di Parma, Parco Area delle Science 53/a, 43124, Parma, Italy  |4 aut 
773 0 |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 215/2(2015-02-01), 443-496  |x 0003-9527  |q 215:2<443  |1 2015  |2 215  |o 205 
856 4 0 |u https://doi.org/10.1007/s00205-014-0785-2  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00205-014-0785-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Colombo  |D Maria  |u Scuola Normale Superiore di Pisa, p.za dei Cavalieri, 7, 56126, Pisa, Italy  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Mingione  |D Giuseppe  |u Dipartimento di Matematica e Informatica, Università di Parma, Parco Area delle Science 53/a, 43124, Parma, Italy  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 215/2(2015-02-01), 443-496  |x 0003-9527  |q 215:2<443  |1 2015  |2 215  |o 205