Bounded Minimisers of Double Phase Variational Integrals

Verfasser / Beitragende:
[Maria Colombo, Giuseppe Mingione]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 218/1(2015-10-01), 219-273
Format:
Artikel (online)
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245 0 0 |a Bounded Minimisers of Double Phase Variational Integrals  |h [Elektronische Daten]  |c [Maria Colombo, Giuseppe Mingione] 
520 3 |a Bounded minimisers of 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 $${0 \leqq a(\cdot) \in C^{0, \alpha}}$$ 0 ≦ a ( · ) ∈ C 0 , α and $${1 < p < q}$$ 1 < p < q , are $${C^{1, \beta}}$$ C 1 , β -regular provided the sharp bound $${q \leqq p + \alpha}$$ q ≦ p + α holds. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
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 Scienze 53/a, 43124, Parma, Italy  |4 aut 
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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 Scienze 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 218/1(2015-10-01), 219-273  |x 0003-9527  |q 218:1<219  |1 2015  |2 218  |o 205