Regularity for Double Phase Variational Problems
Gespeichert in:
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)
Online Zugang:
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| 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 |
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| 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 | ||