Bounded Minimisers of Double Phase Variational Integrals

被引：401
作者：
Colombo, Maria [1 ]
Mingione, Giuseppe [2 ]
机构：
[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[2] Univ Parma, Dipartimento Matemat & Informat, I-43124 Parma, Italy
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2015年 / 218卷 / 01期
关键词：
ELLIPTIC-EQUATIONS; SINGULAR SET; REGULARITY; FUNCTIONALS; APPROXIMATION; INTEGRABILITY; RELAXATION; EXISTENCE; GRADIENT; MINIMA;
D O I：
10.1007/s00205-015-0859-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bounded minimisers of the functional w ->integral(broken vertical bar Dw(p) + a(x)broken vertical bar Dw broken vertical bar(q)) dx where and , are -regular provided the sharp bound holds.
引用
收藏
页码：219 / 273
页数：55
相关论文
共 56 条
  • [21] Regularity for Double Phase Variational Problems
    Colombo, Maria
    Mingione, Giuseppe
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2015, 215 (02) : 443 - 496
  • [22] Holder continuity of the gradient of p(x)-harmonic mappings
    Coscia, A
    Mingione, G
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (04): : 363 - 368
  • [23] Local Boundedness of Minimizers with Limit Growth Conditions
    Cupini, Giovanni
    Marcellini, Paolo
    Mascolo, Elvira
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 166 (01) : 1 - 22
  • [24] Cupini G, 2014, ADV DIFFERENTIAL EQU, V19, P693
  • [25] Everywhere regularity of functionals with φ-growth
    Diening, Lars
    Stroffolini, Bianca
    Verde, Anna
    [J]. MANUSCRIPTA MATHEMATICA, 2009, 129 (04) : 449 - 481
  • [26] Regularity for degenerate elliptic problems via p-harmonic approximation
    Duzaar, F
    Mingione, G
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2004, 21 (05): : 735 - 766
  • [27] The p-harmonic approximation and the regularity of p-harmonic maps
    Duzaar, F
    Mingione, G
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2004, 20 (03) : 235 - 256
  • [28] Harmonic type approximation lemmas
    Duzaar, Frank
    Mingione, Giuseppe
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 352 (01) : 301 - 335
  • [29] Sharp regularity for functionals with (p, q) growth
    Esposito, L
    Leonetti, F
    Mingione, G
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 204 (01) : 5 - 55
  • [30] Regularity for minimizers of functionals with p-q growth
    Esposito, Luca
    Leonetti, Francesco
    Mingione, Giuseppe
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1999, 6 (02): : 133 - 148
123456