caa a22 4500 60551576X CHVBK 20210128100711.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s00205-015-0859-9 doi (NATIONALLICENCE)springer-10.1007/s00205-015-0859-9 Bounded Minimisers of Double Phase Variational Integrals [Elektronische Daten] [Maria Colombo, Giuseppe Mingione] 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. Springer-Verlag Berlin Heidelberg, 2015 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 Scienze 53/a, 43124, Parma, Italy aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/1(2015-10-01), 219-273 0003-9527 218:1<219 2015 218 205 https://doi.org/10.1007/s00205-015-0859-9 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/s00205-015-0859-9 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 Scienze 53/a, 43124, Parma, Italy aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/1(2015-10-01), 219-273 0003-9527 218:1<219 2015 218 205